## Elschner, Johannes

Compute Distance To:
 Author ID: elschner.johannes Published as: Elschner, Johannes; Elschner, J.
 Documents Indexed: 104 Publications since 1975, including 5 Books 1 Contribution as Editor Reviewing Activity: 314 Reviews Co-Authors: 22 Co-Authors with 60 Joint Publications 903 Co-Co-Authors
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### Co-Authors

 45 single-authored 16 Schmidt, Gunther 15 Hu, Guanghui 10 Yamamoto, Masahiro 5 Rathsfeld, Andreas 4 Graham, Ivan G. 4 Hsiao, George C. 4 Lorenz, Michael 3 Hinder, Rainer 3 Rehberg, Joachim 3 Sloan, Ian Hugh 3 Stephan, Ernst Peter 2 Bruckner, Gottfried 2 Hansen, Olaf 2 Prössdorf, Siegfried 2 Silbermann, Bernd 1 Antman, Stuart S. 1 Chandler-Wilde, Simon N. 1 Gohberg, Israel 1 Güther, R. 1 Kaiser, Hans-Christoph 1 Kleemann, Bernd H. 1 Maz’ya, Vladimir Gilelevich 1 Penzel, Frank
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### Serials

 20 Mathematische Nachrichten 10 Inverse Problems 5 Mathematical Methods in the Applied Sciences 4 Applicable Analysis 3 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 3 Numerische Mathematik 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Inverse Problems and Imaging 2 Archive for Rational Mechanics and Analysis 2 Demonstratio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Integral Equations and Applications 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Czechoslovak Mathematical Journal 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Zeitschrift für Analysis und ihre Anwendungen 1 Memoirs on Differential Equations and Mathematical Physics 1 Methods and Applications of Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Journal of Modern Optics 1 Lecture Notes in Mathematics 1 Communications in Computational Physics 1 Beiträge zur Analysis 1 Beiträge zur Numerischen Mathematik 1 Operator Theory: Advances and Applications 1 Mathematical Research
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### Fields

 62 Partial differential equations (35-XX) 37 Numerical analysis (65-XX) 27 Integral equations (45-XX) 24 Operator theory (47-XX) 24 Optics, electromagnetic theory (78-XX) 14 Mechanics of deformable solids (74-XX) 13 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 631 times in 364 Documents Cited by Year
Optimal regularity for elliptic transmission problems including $$C^1$$ interfaces. Zbl 1147.47034
Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
2007
Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121
Elschner, J.; Schmidt, G.
1998
Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces. Zbl 1241.35044
Chandler-Wilde, Simon N.; Elschner, Johannes
2010
The double layer potential operator over polyhedral domains. I: Solvability in weighted Sobolev spaces. Zbl 0749.31002
Elschner, Johannes
1992
On spline approximation for a class of non-compact integral equations. Zbl 0709.65117
Elschner, Johannes
1990
Corners and edges always scatter. Zbl 1319.35140
Elschner, Johannes; Hu, Guanghui
2015
An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117
Elschner, J.; Graham, I. G.
1995
An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles. Zbl 1028.78008
Elschner, Johannes; Yamamoto, Masahiro
2002
On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016
Elschner, Johannes; Schmidt, Gunther
1983
Acoustic scattering from corners, edges and circular cones. Zbl 1392.35224
Elschner, Johannes; Hu, Guanghui
2018
Uniqueness in determining polygonal sound-hard obstacles with a single incoming wave. Zbl 1089.78011
Elschner, Johannes; Yamamoto, Masahiro
2006
Asymptotics of solutions to pseudodifferential equations of Mellin type. Zbl 0663.35100
Elschner, Johannes
1987
Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank
2000
$$W^{1,q}$$ regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059
Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G.
2007
A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles. Zbl 1221.35445
Bruckner, Gottfried; Elschner, Johannes
2003
Numerical methods for integral equations of Mellin type. Zbl 0973.65129
Elschner, J.; Graham, I. G.
2000
Uniqueness in inverse elastic scattering with finitely many incident waves. Zbl 1189.35374
Elschner, Johannes; Yamamoto, Masahiro
2010
Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47038
Elschner, Johannes
1985
An inverse problem for fluid-solid interaction. Zbl 1141.35470
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2008
The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102
Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P.
1997
An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces. Zbl 1307.74018
Elschner, Johannes; Hu, Guanghui
2015
An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2009
A discrete collocation method for Symm’s integral equation on curves with corners. Zbl 0868.65098
Elschner, Johannes; Stephan, Ernst P.
1996
Solutions for quasilinear nonsmooth evolution systems in $$L^p$$. Zbl 1053.35058
Maz’ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G.
2004
Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165
Elschner, J.; Hsiao, G. C.; Rathsfeld, A.
2003
The double-layer potential operator over polyhedral domains. II: Spline Galerkin methods. Zbl 0770.65099
Elschner, Johannes
1992
Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123
Elschner, Johannes; Graham, Ivan G.
1997
The $$h-p$$-version of spline approximation methods for Mellin convolution equations. Zbl 0781.65103
Elschner, J.
1993
Elastic scattering by unbounded rough surfaces. Zbl 1335.74029
Elschner, Johannes; Hu, Guanghui
2012
Scattering of plane elastic waves by three-dimensional diffraction gratings. Zbl 1320.74062
Elschner, Johannes; Hu, Guanghui
2012
Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves. Zbl 1210.35285
Elschner, Johannes; Hu, Guanghui
2010
Uniqueness in inverse transmission scattering problems for multilayered obstacles. Zbl 1232.35193
Elschner, Johannes; Hu, Guanghui
2011
Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. Zbl 0662.65112
Elschner, Johannes
1988
On spline collocation for convolution equations. Zbl 0674.65098
Elschner, Johannes
1989
Uniqueness in determining polygonal periodic structures. Zbl 1246.78018
Elschner, J.; Yamamoto, M.
2007
Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055
Elschner, J.; Schmidt, G.
1998
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135
Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J.
1997
Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave. Zbl 1187.35276
Elschner, Johannes; Yamamoto, Masahiro
2008
The numerical solution of an inverse periodic transmission problem. Zbl 1070.35119
Bruckner, Gottfried; Elschner, Johannes
2005
Variational approach to scattering of plane elastic waves by diffraction gratings. Zbl 1426.74172
Elschner, Johannes; Hu, Guanghui
2010
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
Uniqueness results for an inverse periodic transmission problem. Zbl 1077.78009
Elschner, Johannes; Yamamoto, Masahiro
2004
An optimization method in inverse elastic scattering for one-dimensional grating profiles. Zbl 1373.74011
Elschner, Johannes; Hu, Guanghui
2012
Inverse scattering of elastic waves by periodic structures: uniqueness under the third or fourth kind boundary conditions. Zbl 1282.78023
Elschner, Johannes; Hu, Guanghui
2011
Finite element solution of conical diffraction problems. Zbl 0992.78018
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
2002
Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140
Elschner, Johannes; Schmidt, Gunther
2001
Uniqueness and factorization method for inverse elastic scattering with a single incoming wave. Zbl 1430.35179
Elschner, Johannes; Hu, Guanghui
2019
The qualocation method for Symm’s integral equation on a polygon. Zbl 0851.65096
Elschner, J.; Prößdorf, Siegfried; Sloan, I. H.
1996
Galerkin methods with splines for singular integral equations over (0,1). Zbl 0549.65093
Elschner, J.
1984
Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010
Elschner, J.; Schmidt, G.
2003
A collocation method for the solution of the first boundary value problem of elasticity in a polygonal domain in $${\mathbb{R}}^2$$. Zbl 0977.74026
Elschner, Johannes; Hansen, Olaf
1999
Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47037
Elschner, Johannes
1985
Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003
Elschner, Johannes; Schmidt, Gunther
2001
Über entartete Randwertprobleme für elliptische Differentialoperatoren zweiter Ordnung in der Ebene. Zbl 0436.35028
Elschner, Johannes
1980
On degenerate boundary value problems for elliptic differential operators of second order in the plane and the index of degenerate pseudo- differential operators on a closed curve. Zbl 0489.35041
Elschner, Johannes
1981
Über die normale Auflösbarkeit von entarteten gewöhnlichen Differentialoperatoren in Räumen differenzierbarer Funktionen. Zbl 0332.34010
Elschner, Johannes
1978
On the exponential convergence of some boundary element methods for Laplace’s equation in nonsmooth domains. Zbl 0819.65130
Elschner, Johannes
1995
Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143
Elschner, Johannes; Graham, Ivan G.
1995
Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Zbl 1305.74048
Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro
2015
On spline approximation for a class of integral equations. II: Galerkin’s method with smooth splines. Zbl 0691.65098
Elschner, Johannes
1989
Über den Operator $$\sum_{|\alpha| =|\beta| \leq m} C_{\alpha\beta} X^{\alpha} D^{\beta}$$. Zbl 0449.35028
Elschner, Johannes; Lorenz, Michael
1979
On spline approximation for singular integral equations on an interval. Zbl 0666.65093
Elschner, Johannes
1988
A Galerkin method with finite elements for degenerate one dimensional pseudodifferential equations. Zbl 0543.65079
Elschner, Johannes
1983
On the exponential convergence of spline approximation methods for Wiener-Hopf equations. Zbl 0802.65135
Elschner, Johannes
1993
Über die normale Auflösbarkeit von entarteten singulären Integrodifferentialgleichungen. Zbl 0374.45005
Elschner, Johannes
1977
Einige Bemerkungen zu einer Arbeit von Baouendi und Goulaouic. Zbl 0413.35005
Elschner, Johannes
1978
Über singuläre Integrodifferentialgleichungen und das Poincaresche Randwertproblem im entarteten Fall. Zbl 0417.45012
Elschner, Johannes
1978
Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042
2001
Über eine Klasse entarteter singulärer Integrodifferentialgleichungen. I. Zbl 0437.45013
Elschner, Johannes
1979
Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings. Zbl 1279.78011
Elschner, Johannes; Hu, Guanghui
2011
Single logarithmic conditional stability in determining unknown boundaries. Zbl 1445.35329
Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro
2020
Single logarithmic conditional stability in determining unknown boundaries. Zbl 1445.35329
Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro
2020
Uniqueness and factorization method for inverse elastic scattering with a single incoming wave. Zbl 1430.35179
Elschner, Johannes; Hu, Guanghui
2019
Acoustic scattering from corners, edges and circular cones. Zbl 1392.35224
Elschner, Johannes; Hu, Guanghui
2018
Corners and edges always scatter. Zbl 1319.35140
Elschner, Johannes; Hu, Guanghui
2015
Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces. Zbl 1307.74018
Elschner, Johannes; Hu, Guanghui
2015
Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Zbl 1305.74048
Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro
2015
Elastic scattering by unbounded rough surfaces. Zbl 1335.74029
Elschner, Johannes; Hu, Guanghui
2012
Scattering of plane elastic waves by three-dimensional diffraction gratings. Zbl 1320.74062
Elschner, Johannes; Hu, Guanghui
2012
An optimization method in inverse elastic scattering for one-dimensional grating profiles. Zbl 1373.74011
Elschner, Johannes; Hu, Guanghui
2012
Uniqueness in inverse transmission scattering problems for multilayered obstacles. Zbl 1232.35193
Elschner, Johannes; Hu, Guanghui
2011
Inverse scattering of elastic waves by periodic structures: uniqueness under the third or fourth kind boundary conditions. Zbl 1282.78023
Elschner, Johannes; Hu, Guanghui
2011
Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings. Zbl 1279.78011
Elschner, Johannes; Hu, Guanghui
2011
Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces. Zbl 1241.35044
Chandler-Wilde, Simon N.; Elschner, Johannes
2010
Uniqueness in inverse elastic scattering with finitely many incident waves. Zbl 1189.35374
Elschner, Johannes; Yamamoto, Masahiro
2010
Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves. Zbl 1210.35285
Elschner, Johannes; Hu, Guanghui
2010
Variational approach to scattering of plane elastic waves by diffraction gratings. Zbl 1426.74172
Elschner, Johannes; Hu, Guanghui
2010
An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2009
An inverse problem for fluid-solid interaction. Zbl 1141.35470
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2008
Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave. Zbl 1187.35276
Elschner, Johannes; Yamamoto, Masahiro
2008
Optimal regularity for elliptic transmission problems including $$C^1$$ interfaces. Zbl 1147.47034
Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
2007
$$W^{1,q}$$ regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059
Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G.
2007
Uniqueness in determining polygonal periodic structures. Zbl 1246.78018
Elschner, J.; Yamamoto, M.
2007
Uniqueness in determining polygonal sound-hard obstacles with a single incoming wave. Zbl 1089.78011
Elschner, Johannes; Yamamoto, Masahiro
2006
The numerical solution of an inverse periodic transmission problem. Zbl 1070.35119
Bruckner, Gottfried; Elschner, Johannes
2005
Solutions for quasilinear nonsmooth evolution systems in $$L^p$$. Zbl 1053.35058
Maz&rsquo;ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G.
2004
Uniqueness results for an inverse periodic transmission problem. Zbl 1077.78009
Elschner, Johannes; Yamamoto, Masahiro
2004
A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles. Zbl 1221.35445
Bruckner, Gottfried; Elschner, Johannes
2003
An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165
Elschner, J.; Hsiao, G. C.; Rathsfeld, A.
2003
Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010
Elschner, J.; Schmidt, G.
2003
An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles. Zbl 1028.78008
Elschner, Johannes; Yamamoto, Masahiro
2002
Finite element solution of conical diffraction problems. Zbl 0992.78018
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
2002
Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140
Elschner, Johannes; Schmidt, Gunther
2001
Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003
Elschner, Johannes; Schmidt, Gunther
2001
Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042
2001
Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank
2000
Numerical methods for integral equations of Mellin type. Zbl 0973.65129
Elschner, J.; Graham, I. G.
2000
A collocation method for the solution of the first boundary value problem of elasticity in a polygonal domain in $${\mathbb{R}}^2$$. Zbl 0977.74026
Elschner, Johannes; Hansen, Olaf
1999
Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121
Elschner, J.; Schmidt, G.
1998
Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055
Elschner, J.; Schmidt, G.
1998
The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102
Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P.
1997
Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123
Elschner, Johannes; Graham, Ivan G.
1997
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135
Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J.
1997
A discrete collocation method for Symm’s integral equation on curves with corners. Zbl 0868.65098
Elschner, Johannes; Stephan, Ernst P.
1996
The qualocation method for Symm’s integral equation on a polygon. Zbl 0851.65096
Elschner, J.; Prößdorf, Siegfried; Sloan, I. H.
1996
An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117
Elschner, J.; Graham, I. G.
1995
On the exponential convergence of some boundary element methods for Laplace’s equation in nonsmooth domains. Zbl 0819.65130
Elschner, Johannes
1995
Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143
Elschner, Johannes; Graham, Ivan G.
1995
The $$h-p$$-version of spline approximation methods for Mellin convolution equations. Zbl 0781.65103
Elschner, J.
1993
On the exponential convergence of spline approximation methods for Wiener-Hopf equations. Zbl 0802.65135
Elschner, Johannes
1993
The double layer potential operator over polyhedral domains. I: Solvability in weighted Sobolev spaces. Zbl 0749.31002
Elschner, Johannes
1992
The double-layer potential operator over polyhedral domains. II: Spline Galerkin methods. Zbl 0770.65099
Elschner, Johannes
1992
On spline approximation for a class of non-compact integral equations. Zbl 0709.65117
Elschner, Johannes
1990
On spline collocation for convolution equations. Zbl 0674.65098
Elschner, Johannes
1989
On spline approximation for a class of integral equations. II: Galerkin’s method with smooth splines. Zbl 0691.65098
Elschner, Johannes
1989
On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. Zbl 0662.65112
Elschner, Johannes
1988
On spline approximation for singular integral equations on an interval. Zbl 0666.65093
Elschner, Johannes
1988
Asymptotics of solutions to pseudodifferential equations of Mellin type. Zbl 0663.35100
Elschner, Johannes
1987
Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47038
Elschner, Johannes
1985
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47037
Elschner, Johannes
1985
Galerkin methods with splines for singular integral equations over (0,1). Zbl 0549.65093
Elschner, J.
1984
On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016
Elschner, Johannes; Schmidt, Gunther
1983
A Galerkin method with finite elements for degenerate one dimensional pseudodifferential equations. Zbl 0543.65079
Elschner, Johannes
1983
On degenerate boundary value problems for elliptic differential operators of second order in the plane and the index of degenerate pseudo- differential operators on a closed curve. Zbl 0489.35041
Elschner, Johannes
1981
Über entartete Randwertprobleme für elliptische Differentialoperatoren zweiter Ordnung in der Ebene. Zbl 0436.35028
Elschner, Johannes
1980
Über den Operator $$\sum_{|\alpha| =|\beta| \leq m} C_{\alpha\beta} X^{\alpha} D^{\beta}$$. Zbl 0449.35028
Elschner, Johannes; Lorenz, Michael
1979
Über eine Klasse entarteter singulärer Integrodifferentialgleichungen. I. Zbl 0437.45013
Elschner, Johannes
1979
Über die normale Auflösbarkeit von entarteten gewöhnlichen Differentialoperatoren in Räumen differenzierbarer Funktionen. Zbl 0332.34010
Elschner, Johannes
1978
Einige Bemerkungen zu einer Arbeit von Baouendi und Goulaouic. Zbl 0413.35005
Elschner, Johannes
1978
Über singuläre Integrodifferentialgleichungen und das Poincaresche Randwertproblem im entarteten Fall. Zbl 0417.45012
Elschner, Johannes
1978
Über die normale Auflösbarkeit von entarteten singulären Integrodifferentialgleichungen. Zbl 0374.45005
Elschner, Johannes
1977
all top 5

### Cited by 370 Authors

 28 Hu, Guanghui 27 Elschner, Johannes 16 Rehberg, Joachim 14 Liu, Hongyu 13 Zhang, Bo 12 Schmidt, Gunther 11 Li, Peijun 11 Rathsfeld, Andreas 10 Bao, Gang 10 Zhang, Ruming 9 Lechleiter, Armin 9 Yang, Jiaqing 8 Laurita, Concetta 7 Chandler-Wilde, Simon N. 7 Haller-Dintelmann, Robert 7 Kaiser, Hans-Christoph 7 Prössdorf, Siegfried 7 Qu, Fenglong 7 Saranen, Jukka 7 Yin, Tao 6 Haddar, Houssem 6 Mitrea, Irina 6 Monk, Peter B. 6 Silbermann, Bernd 6 Vainikko, Gennadi 6 Xiao, Jingni 6 Yan, Guozheng 5 Cakoni, Fioralba 5 Hansen, Olaf 5 Huang, Jin 5 Ruotsalainen, Keijo Matti 5 Wendland, Wolfgang L. 4 Cui, Yanli 4 Li, Jingzhi 4 Meinlschmidt, Hannes 4 Meyer, Christian 4 Monegato, Giovanni 4 Sloan, Ian Hugh 4 Stephan, Ernst Peter 4 Yamamoto, Masahiro 4 Zhao, Yue 3 Blåsten, Eemeli 3 Blåsten, Emilia L. K. 3 Byun, Sun-Sig 3 Chesnel, Lucas 3 De Bonis, Maria Carmela 3 Diao, Huaian 3 Didenko, Victor D. 3 Disser, Karoline 3 Graham, Ivan G. 3 Hager, William W. 3 Hamina, Martti 3 Jeon, Youngmok 3 Li, Jianliang 3 Lu, Wangtao 3 Nguyen, Dinh Liem 3 Nguyen, Thi-Phong 3 Nicholls, David P. 3 Perfekt, Karl-Mikael 3 Qiao, Yu 3 Rao, Anil V. 3 Rondi, Luca 3 Sauter, Stefan A. 3 Schneider, Reinhold 3 Spence, Euan A. 3 Turunen, Ville 3 Vashisth, Manmohan 3 Xiang, Jianli 3 Yousept, Irwin 3 Yuan, Xiaokai 3 Zhang, Hai 3 Zhang, Haiwen 3 Zou, Jun 2 Audibert, Lorenzo 2 Aylwin, Rubén 2 Bonnet-Ben Dhia, Anne-Sophie 2 Börm, Steffen 2 Bruno, Oscar P. 2 Bühring, Kathrin 2 Chapko, Roman 2 Chen, Dehan 2 Consiglieri, Luisa 2 Dahlke, Stephan 2 Druet, Pierre-Étienne 2 Eggermont, Paul P. B. 2 Gong, Wei 2 Gross, Hermann 2 Hou, Hongyan 2 Hsiao, George C. 2 Jerez-Hanckes, Carlos 2 Khoromskiĭ, Boris Nikolaevich 2 Konschin, Alexander 2 Li, Xiliang 2 Li, Zi-Cai 2 Liu, Xiaoli 2 Mastroianni, Giuseppe 2 Melenk, Jens Markus 2 Mitrea, Marius 2 Mohapatra, Subhashree 2 Nakamura, Gen ...and 270 more Authors
all top 5

### Cited in 103 Serials

 20 Journal of Computational and Applied Mathematics 18 Inverse Problems 18 Numerische Mathematik 17 Journal of Differential Equations 16 Journal of Integral Equations and Applications 14 Mathematische Nachrichten 13 Mathematical Methods in the Applied Sciences 13 Integral Equations and Operator Theory 12 Applicable Analysis 10 Numerical Functional Analysis and Optimization 9 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Mathematical Analysis 9 Inverse Problems and Imaging 8 Journal of Computational Physics 7 SIAM Journal on Applied Mathematics 6 Mathematics of Computation 6 Applied Numerical Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Scientific Computing 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Inverse and Ill-Posed Problems 4 The Journal of Fourier Analysis and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 BIT 3 Computing 3 Zeitschrift für Analysis und ihre Anwendungen 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Advances in Computational Mathematics 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Boundary Value Problems 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 2 Archive for Rational Mechanics and Analysis 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 Potential Analysis 2 Computational Optimization and Applications 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of Evolution Equations 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Wave Motion 1 Applied Mathematics and Optimization 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Kybernetes 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Siberian Mathematical Journal 1 Annals of Global Analysis and Geometry 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory ...and 3 more Serials
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### Cited in 26 Fields

 266 Partial differential equations (35-XX) 187 Numerical analysis (65-XX) 91 Integral equations (45-XX) 88 Optics, electromagnetic theory (78-XX) 51 Mechanics of deformable solids (74-XX) 34 Operator theory (47-XX) 25 Fluid mechanics (76-XX) 20 Potential theory (31-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX)