Tanana, Vitaliĭ Pavlovich; Ershova, Anna Aleksandrovna On the solution of an inverse boundary value problem for composite materials. (Russian. English summary) Zbl 1442.65468 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 4, 474-488 (2018). MSC: 65R32 31A25 49N45 80A19 80M15 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. A. Ershova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 4, 474--488 (2018; Zbl 1442.65468) Full Text: DOI MNR
Ockendon, J. R.; Tew, R. H. Thin-layer solutions of the Helmholtz and related equations. (English) Zbl 1237.31004 SIAM Rev. 54, No. 1, 3-51 (2012). MSC: 31A25 34E05 34E10 34E13 34E20 35J25 76R99 78A05 78A40 78A45 PDFBibTeX XMLCite \textit{J. R. Ockendon} and \textit{R. H. Tew}, SIAM Rev. 54, No. 1, 3--51 (2012; Zbl 1237.31004) Full Text: DOI
Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören Explicit formulas for the Green’s function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\). (English) Zbl 1206.30068 Result. Math. 58, No. 1-2, 173-189 (2010). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 31B20 PDFBibTeX XMLCite \textit{D. Constales} et al., Result. Math. 58, No. 1--2, 173--189 (2010; Zbl 1206.30068) Full Text: DOI
Galybin, A. N.; Irša, J. On reconstruction of three-dimensional harmonic functions from discrete data. (English) Zbl 1253.65179 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2119, 1935-1955 (2010). MSC: 65N21 31B20 31C05 PDFBibTeX XMLCite \textit{A. N. Galybin} and \textit{J. Irša}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2119, 1935--1955 (2010; Zbl 1253.65179) Full Text: DOI
Jia, X. Z.; Wang, Y. B. A boundary integral method for solving inverse heat conduction problem. (English) Zbl 1110.35103 J. Inverse Ill-Posed Probl. 14, No. 4, 375-384 (2006). MSC: 35R30 31A10 65M32 35K05 PDFBibTeX XMLCite \textit{X. Z. Jia} and \textit{Y. B. Wang}, J. Inverse Ill-Posed Probl. 14, No. 4, 375--384 (2006; Zbl 1110.35103) Full Text: DOI
Yi, Z.; Murio, D. A. Identification of source terms in 2-D IHCP. (English) Zbl 1155.65376 Comput. Math. Appl. 47, No. 10-11, 1517-1533 (2004). MSC: 65M32 80A23 31A25 47A52 80M20 PDFBibTeX XMLCite \textit{Z. Yi} and \textit{D. A. Murio}, Comput. Math. Appl. 47, No. 10--11, 1517--1533 (2004; Zbl 1155.65376) Full Text: DOI
Grassi, A.; Lombardo, G. M.; Raudino, A. Discretization of unknown functions: A new method to solve partial differential equations with mixed boundary conditions. (English) Zbl 0970.65105 J. Math. Chem. 25, No. 4, 321-344 (1999). Reviewer: M.Lenard (Kuwait) MSC: 65M70 65M12 35K05 31A25 80A32 PDFBibTeX XMLCite \textit{A. Grassi} et al., J. Math. Chem. 25, No. 4, 321--344 (1999; Zbl 0970.65105) Full Text: DOI
Lipton, Robert The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. (English) Zbl 0911.31002 SIAM J. Math. Anal. 29, No. 3, 673-680 (1998). Reviewer: Y.Cherruault (Paris) MSC: 31B20 35A15 78A35 74E05 PDFBibTeX XMLCite \textit{R. Lipton}, SIAM J. Math. Anal. 29, No. 3, 673--680 (1998; Zbl 0911.31002) Full Text: DOI
Bryan, Kurt A boundary integral method for an inverse problem in thermal imaging. (English) Zbl 0892.35155 J. Math. Syst. Estim. Control 7, No. 1, 1-27 (1997). MSC: 35R30 31A10 65M99 65N99 35J25 PDFBibTeX XMLCite \textit{K. Bryan}, J. Math. Syst. Estim. Control 7, No. 1, 1--27 (1997; Zbl 0892.35155)
Le Trong Luc On balayage principles by inverse source problems. (English) Zbl 1040.35513 Vietnam J. Math. 23, No. 1, 69-76 (1995). MSC: 35R30 31C15 PDFBibTeX XMLCite \textit{Le Trong Luc}, Vietnam J. Math. 23, No. 1, 69--76 (1995; Zbl 1040.35513)
Gürlebeck, K.; Hommel, A. On fundamental solutions of the heat conduction difference operator. (English) Zbl 0814.31007 Z. Anal. Anwend. 13, No. 3, 425-441 (1994). Reviewer: V.Anandam (Riyadh) MSC: 31C20 39A12 65M06 PDFBibTeX XMLCite \textit{K. Gürlebeck} and \textit{A. Hommel}, Z. Anal. Anwend. 13, No. 3, 425--441 (1994; Zbl 0814.31007) Full Text: DOI
Kajimoto, Hiroshi On the steady state of the heat conduction on a Riemannian symmetric space. (English) Zbl 0669.31002 Hiroshima Math. J. 18, No. 1, 53-58 (1988). Reviewer: H.Kajimoto MSC: 31C12 31C35 31B10 31C05 58J35 PDFBibTeX XMLCite \textit{H. Kajimoto}, Hiroshima Math. J. 18, No. 1, 53--58 (1988; Zbl 0669.31002)
Kajimoto, Hiroshi On the steady state of the heat conduction on a Riemannian symmetric space. (English) Zbl 0664.35005 Hiroshima Math. J. 18, No. 1, 53-58 (1988). Reviewer: H.Kajimoto MSC: 35C15 35B40 58J35 58B20 31C35 PDFBibTeX XMLCite \textit{H. Kajimoto}, Hiroshima Math. J. 18, No. 1, 53--58 (1988; Zbl 0664.35005)
Temirbulatov, S. I. Heat conduction problem with a boundary condition containing derivatives of higher order. (Russian) Zbl 0509.35042 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1982, No. 5, 36-41 (1982). MSC: 35K05 35A05 35R25 31B15 31B35 PDFBibTeX XMLCite \textit{S. I. Temirbulatov}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1982, No. 5, 36--41 (1982; Zbl 0509.35042)
Anger, Gottfried Einige Betrachtungen über inverse Probleme, Identifikationsprobleme und inkorrekt gestellte Probleme. (German) Zbl 0458.35096 Jahrb. Überblicke Mathematik 1982, 55-71 (1982). MSC: 35R30 31B20 35-03 46-03 47L07 35R25 86A20 PDFBibTeX XML
Anger, Gottfried; Czerner, Regine An inverse problem for the heat conduction equation. II. (English) Zbl 0452.35116 Math. Nachr. 105, 163-170 (1982). MSC: 35R35 31B20 80A20 35R20 35K05 47L07 PDFBibTeX XMLCite \textit{G. Anger} and \textit{R. Czerner}, Math. Nachr. 105, 163--170 (1982; Zbl 0452.35116) Full Text: DOI
Chernyaev, A. P. Determination of the solutions of sourcesink type for the potential of generalized Cauchy-Riemann systems of some class. (Russian) Zbl 0475.35030 Differ. Uravn. 17, 1511-1514 (1981). MSC: 35F10 31A15 76S05 PDFBibTeX XMLCite \textit{A. P. Chernyaev}, Differ. Uravn. 17, 1511--1514 (1981; Zbl 0475.35030)
Jain, D. L.; Kanwal, R. P. Solutions of potential problems in composite media by integral equation techniques. I. Derivation of integral equations. (English) Zbl 0474.31002 J. Integral Equations 3, 279-298 (1981). MSC: 31A10 31B10 78A30 31A25 31B20 74B99 76B99 80A20 PDFBibTeX XMLCite \textit{D. L. Jain} and \textit{R. P. Kanwal}, J. Integral Equations 3, 279--298 (1981; Zbl 0474.31002)
Lumer, G. Connecting of local operators and evolution equations on networks. (English) Zbl 0437.35037 Potential theory, Proc. Colloq., Copenhagen 1979, Lect. Notes Math. 787, 219-234 (1980). MSC: 35G10 35K25 35R20 31C99 PDFBibTeX XML
Payvar, P. Analytical solution of a new mixed boundary-value problem in heat conduction. (English) Zbl 0418.35052 Q. J. Mech. Appl. Math. 32, 253-258 (1979). MSC: 35K05 35K99 31A35 30C20 PDFBibTeX XMLCite \textit{P. Payvar}, Q. J. Mech. Appl. Math. 32, 253--258 (1979; Zbl 0418.35052) Full Text: DOI
Takeuti, Y.; Tanigawa, Y. Improved numerical methods for unsteady-state thermal stress problems using with numerical integrations. (English) Zbl 0406.65053 Numerical methods in thermal problems, Proc. 1st int. Conf., Swansea 1979, 644-653 (1979). MSC: 65Z05 65D30 80A20 35K05 31A30 PDFBibTeX XML
Roache, Patrick J. Sixth-order accurate direct solver for the Poisson and Helmholtz equations. (English) Zbl 0401.76002 AIAA J. 17, 524-529 (1979). MSC: 76-04 76B99 65N99 35J05 31-04 PDFBibTeX XMLCite \textit{P. J. Roache}, AIAA J. 17, 524--529 (1979; Zbl 0401.76002) Full Text: DOI
Anger, Gottfried; Czerner, Regine The extreme measures in the inverse problem of the heat equation. (English) Zbl 0409.35080 Elliptische Differentialgleichungen, Vortr. Tag. Rostock 1977, 53-57 (1978). MSC: 35R30 35K20 31B20 46A55 86A20 PDFBibTeX XML
Colton, David Integral operator methods in the theory of wave propagation and heat conduction. (English) Zbl 0446.73001 Applied Mathematics Institute, Lecture Notes Series No. 5. Newark, Delaware: University of Delaware, Applied Mathematics Institute. 54 p. $ 2.50 (1977). MSC: 74-02 74A15 35K05 31C99 74J99 35R30 47F05 47Gxx PDFBibTeX XML