{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T15:12:10Z","timestamp":1716995530169},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,5,6]],"date-time":"2015-05-06T00:00:00Z","timestamp":1430870400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Integr. Equ. Oper. Theory"],"published-print":{"date-parts":[[2015,7]]},"DOI":"10.1007\/s00020-015-2236-3","type":"journal-article","created":{"date-parts":[[2015,5,5]],"date-time":"2015-05-05T06:58:52Z","timestamp":1430809132000},"page":"371-393","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions"],"prefix":"10.1007","volume":"82","author":[{"given":"Matteo","family":"Dalla Riva","sequence":"first","affiliation":[]},{"given":"Massimo","family":"Lanza de Cristoforis","sequence":"additional","affiliation":[]},{"given":"Paolo","family":"Musolino","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,5,6]]},"reference":[{"key":"2236_CR1","doi-asserted-by":"crossref","first-page":"1712","DOI":"10.1016\/j.jde.2007.12.009","volume":"244","author":"V.I. Burenkov","year":"2008","unstructured":"Burenkov V.I., Lamberti P.D.: Spectral stability of Dirichlet second order uniformly elliptic operators. J. Differ. Equ. 244, 1712\u20131740 (2008)","journal-title":"J. Differ. Equ."},{"key":"2236_CR2","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1088\/0266-5611\/11\/6\/002","volume":"11","author":"A. Charalambopoulos","year":"1995","unstructured":"Charalambopoulos A.: On the Fr\u00e9chet differentiability of boundary integral operators in the inverse elastic scattering problem. Inverse Probl. 11, 1137\u20131161 (1995)","journal-title":"Inverse Probl."},{"key":"2236_CR3","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/s00020-012-1954-z","volume":"72","author":"M. Costabel","year":"2012","unstructured":"Costabel M., Le Lou\u00ebr F.: Shape derivatives of boundary integral operators in electromagnetic scattering. Part I: shape differentiability of pseudo-homogeneous boundary integral operators. Integral Equ. Oper.Theory 72, 509\u2013535 (2012)","journal-title":"Integral Equ. Oper.Theory"},{"key":"2236_CR4","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/s00020-012-1955-y","volume":"73","author":"M. Costabel","year":"2012","unstructured":"Costabel M., Le Lou\u00ebr F.: Shape derivatives of boundary integral operators in electromagnetic scattering.Part II: application to scattering by a homogeneous dielectric obstacle. Integral Equ. Oper. Theory 73, 17\u201348 (2012)","journal-title":"Integral Equ. Oper. Theory"},{"key":"2236_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00020-013-2052-6","volume":"76","author":"M. Dalla Riva","year":"2013","unstructured":"Dalla Riva M.: A family of fundamental solutions of elliptic partial differential operators with real constant coefficients. Integral Equ. Oper. Theory 76, 1\u201323 (2013)","journal-title":"Integral Equ. Oper. Theory"},{"key":"2236_CR6","first-page":"10","volume":"5","author":"M. Dalla Riva","year":"2010","unstructured":"Dalla Riva M., Lanza de Cristoforis M.: A perturbation result for the layer potentials of general second order differential operators with constant coefficients. J. Appl. Funct. Anal. 5, 10\u201330 (2010)","journal-title":"J. Appl. Funct. Anal."},{"key":"2236_CR7","doi-asserted-by":"crossref","first-page":"1569","DOI":"10.1002\/mma.2706","volume":"36","author":"M. Dalla Riva","year":"2013","unstructured":"Dalla Riva M., Morais J., Musolino P.: A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients. Math. Methods Appl. Sci. 36, 1569\u20131582 (2013)","journal-title":"Math. Methods Appl. Sci."},{"key":"2236_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-00547-7","volume-title":"Nonlinear Functional Analysis","author":"K. Deimling","year":"1985","unstructured":"Deimling K.: Nonlinear Functional Analysis. Springer, Berlin (1985)"},{"key":"2236_CR9","volume-title":"Real Analysis. Modern Techniques and Their Applications","author":"G.B. Folland","year":"1999","unstructured":"Folland G.B.: Real Analysis. Modern Techniques and Their Applications, 2nd edn. Wiley, New York (1999)","edition":"2"},{"key":"2236_CR10","doi-asserted-by":"crossref","unstructured":"Gilbarg D., Trudinger N.S.: Elliptic Partial Differential Equations of Second Order. Springer, (1983)","DOI":"10.1007\/978-3-642-61798-0"},{"key":"2236_CR11","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1137\/S0036139903435413","volume":"65","author":"H. Haddar","year":"2004","unstructured":"Haddar H., Kress R.: On the Fr\u00e9chet derivative for obstacle scattering with an impedance boundary condition. SIAM J. Appl. Math. 65, 194\u2013208 (2004)","journal-title":"SIAM J. Appl. Math."},{"key":"2236_CR12","doi-asserted-by":"crossref","unstructured":"Henry, D.: Perturbation of the boundary in boundary-value problems of partial differential equations. In: London Mathematical Society Lecture Notes, vol. 318. Cambridge University Press, Cambridge, (2005)","DOI":"10.1017\/CBO9780511546730"},{"key":"2236_CR13","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1088\/0266-5611\/11\/2\/007","volume":"11","author":"F. Hettlich","year":"1995","unstructured":"Hettlich F.: Fr\u00e9chet derivatives in inverse obstacle scattering. Inverse Probl. 11, 371\u2013382 (1995)","journal-title":"Inverse Probl."},{"key":"2236_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9333-7","volume-title":"Partial Differential Equations","author":"F. John","year":"1982","unstructured":"John F.: Partial Differential Equations. Springer, New York (1982)"},{"key":"2236_CR15","volume-title":"Plane Waves and Spherical Means Applied to Partial Differential Equations","author":"F. John","year":"1955","unstructured":"John F.: Plane Waves and Spherical Means Applied to Partial Differential Equations. Interscience Publishers, New York-London (1955)"},{"key":"2236_CR16","unstructured":"Keldysh, M.V.: On the solvability and stability of the Dirichlet problem. In: American Mathematical Society Translations, II Series, vol. 51, pp. 1\u201373 (1966). [Translation from Uspekhi Matematicheskikh Nauk, vol. 8, pp. 171\u2013231 (1941)"},{"key":"2236_CR17","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1088\/0266-5611\/9\/1\/005","volume":"9","author":"A. Kirsch","year":"1993","unstructured":"Kirsch A.: The domain derivative and two applications in inverse scattering theory. Inverse Probl. 9, 81\u201396 (1993)","journal-title":"Inverse Probl."},{"key":"2236_CR18","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1137\/S0036139997332257","volume":"59","author":"R. Kress","year":"1999","unstructured":"Kress R., P\u00e4iv\u00e4rinta L.: On the far field in obstacle scattering. SIAM J. Appl. Math. 59, 1413\u20131426 (1999)","journal-title":"SIAM J. Appl. Math."},{"key":"2236_CR19","first-page":"157","volume":"56","author":"M. Lanza de Cristoforis","year":"1998","unstructured":"Lanza de Cristoforis M.: Differentiability properties of a composition operator. Rend. Circ. Mat. Palermo (2) Suppl. 56, 157\u2013165 (1998)","journal-title":"Rend. Circ. Mat. Palermo (2) Suppl."},{"key":"2236_CR20","first-page":"851","volume":"50","author":"M. Lanza de Cristoforis","year":"2005","unstructured":"Lanza de Cristoforis M.: A domain perturbation problem for the Poisson equation. Complex Var. Theory Appl. 50, 851\u2013867 (2005)","journal-title":"Complex Var. Theory Appl."},{"key":"2236_CR21","first-page":"197","volume":"2","author":"M. Lanza de Cristoforis","year":"2007","unstructured":"Lanza de Cristoforis M.: Perturbation problems in potential theory, a functional analytic approach. J. Appl. Funct. Anal. 2, 197\u2013222 (2007)","journal-title":"J. Appl. Funct. Anal."},{"key":"2236_CR22","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s13163-011-0081-8","volume":"25","author":"M. Lanza de Cristoforis","year":"2012","unstructured":"Lanza de Cristoforis M.: Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole. Rev. Mat. Complut. 25, 369\u2013412 (2012)","journal-title":"Rev. Mat. Complut."},{"key":"2236_CR23","first-page":"75","volume":"52","author":"M. Lanza de Cristoforis","year":"2011","unstructured":"Lanza de Cristoforis M., Musolino P.: A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients. Far East J. Math. Sci. (FJMS) 52, 75\u2013120 (2011)","journal-title":"Far East J. Math. Sci. (FJMS)"},{"key":"2236_CR24","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1216\/jiea\/1181075272","volume":"16","author":"M. Lanza de Cristoforis","year":"2004","unstructured":"Lanza de Cristoforis M., Rossi L.: Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density. J. Integral Equ. Appl. 16, 137\u2013174 (2004)","journal-title":"J. Integral Equ. Appl."},{"key":"2236_CR25","unstructured":"Lanza de Cristoforis, M., Rossi, L.: Real analytic dependence of simple and double layer potentials for the Helmholtz equation upon perturbation of the support and of the density. In: Analytic Methods of Analysis and Differential Equations (AMADE\u201906), pp. 193\u2013220. Camb. Sci. Publ., Cambridge (2008)"},{"key":"2236_CR26","doi-asserted-by":"crossref","first-page":"1493","DOI":"10.1137\/110834160","volume":"72","author":"F. Le Lou\u00ebr","year":"2012","unstructured":"Le Lou\u00ebr F.: On the Fr\u00e9chet derivative in elastic obstacle scattering. SIAM J. Appl. Math. 72, 1493\u20131507 (2012)","journal-title":"SIAM J. Appl. Math."},{"key":"2236_CR27","doi-asserted-by":"crossref","unstructured":"Maz\u2019ya, V., Nazarov, S., Plamenevskij, B.: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, vols. I, II. Birkh\u00e4user, Basel (2000)","DOI":"10.1007\/978-3-0348-8434-1"},{"key":"2236_CR28","volume-title":"Les m\u00e9thodes directes en th\u00e9orie des \u00e9quations elliptiques","author":"J. Ne\u010das","year":"1967","unstructured":"Ne\u010das J.: Les m\u00e9thodes directes en th\u00e9orie des \u00e9quations elliptiques. Masson et Cie, Paris (1967)"},{"key":"2236_CR29","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1088\/0266-5611\/10\/2\/016","volume":"10","author":"R. Potthast","year":"1994","unstructured":"Potthast R.: Fr\u00e9chet differentiability of boundary integral operators in inverse acoustic scattering. Inverse Probl. 10, 431\u2013447 (1994)","journal-title":"Inverse Probl."},{"key":"2236_CR30","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1515\/jiip.1996.4.1.67","volume":"4","author":"R. Potthast","year":"1996","unstructured":"Potthast R.: Fr\u00e9chet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. J. Inverse Ill-Posed Probl. 4, 67\u201384 (1996)","journal-title":"J. Inverse Ill-Posed Probl."},{"key":"2236_CR31","doi-asserted-by":"crossref","first-page":"1157","DOI":"10.1002\/(SICI)1099-1476(199610)19:15<1157::AID-MMA814>3.0.CO;2-Y","volume":"19","author":"R. Potthast","year":"1996","unstructured":"Potthast R.: Domain derivatives in electromagnetic scattering. Math. Methods Appl. Sci. 19, 1157\u20131175 (1996)","journal-title":"Math. Methods Appl. Sci."},{"key":"2236_CR32","unstructured":"Preciso, L.: Perturbation analysis of the conformal sewing problem and related problems. PhD dissertation, University of Padova (1998)"},{"key":"2236_CR33","first-page":"99","volume":"5","author":"L. Preciso","year":"2000","unstructured":"Preciso L.: Regularity of the composition and of the inversion operator and perturbation analysis of the conformal sewing problem in Roumieu type spaces. Natl. Acad. Sci. Belarus Proc. Inst. Math. 5, 99\u2013104 (2000)","journal-title":"Natl. Acad. Sci. Belarus Proc. Inst. Math."},{"key":"2236_CR34","volume-title":"Analisi Non Lineare","author":"G. Prodi","year":"1973","unstructured":"Prodi G., Ambrosetti A.: Analisi Non Lineare. Editrice Tecnico Scientifica, Pisa (1973)"},{"key":"2236_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-58106-9","volume-title":"Introduction to Shape Optimization. Shape Sensitivity Analysis","author":"J. Sokolowski","year":"1992","unstructured":"Sokolowski J., Zol\u00e9sio J.P.: Introduction to Shape Optimization. Shape Sensitivity Analysis. Springer, Berlin (1992)"},{"key":"2236_CR36","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3614-1","volume-title":"Elliptic Differential Equations and Obstacle Problems","author":"G.M. Troianiello","year":"1987","unstructured":"Troianiello G.M.: Elliptic Differential Equations and Obstacle Problems. Plenum Press, New York (1987)"},{"key":"2236_CR37","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1137\/0153038","volume":"53","author":"M.J. Ward","year":"1993","unstructured":"Ward M.J., Keller J.B.: Strong localized perturbations of eigenvalue problems. SIAM J. Appl. Math. 53, 770\u2013798 (1993)","journal-title":"SIAM J. Appl. Math."}],"container-title":["Integral Equations and Operator Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00020-015-2236-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00020-015-2236-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00020-015-2236-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T11:37:42Z","timestamp":1566646662000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00020-015-2236-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,6]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["2236"],"URL":"https:\/\/doi.org\/10.1007\/s00020-015-2236-3","relation":{},"ISSN":["0378-620X","1420-8989"],"issn-type":[{"value":"0378-620X","type":"print"},{"value":"1420-8989","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5,6]]}}}