An iterative procedure for solving a Cauchy problem for second order elliptic equations

Mathematische Nachrichten

Volumn 272, Issue , 2004, Pages 46-54

  Johansson, Tomas ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Cauchy problem; Ill posed; Iterative method

Indexed keywords

EID: 4644351704     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.200310188     Document Type: Article

References (12)

1. G. Bastay, V. A. Kozlov, and B. O. Turesson, Iterative methods for an inverse heat conduction problem, J. Inverse Ill-posed Probl. 9, 375-388 (2001).
2. H. W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems (Kluwer Academic Publishers Group, Dordrecht, 1996).
3. M. Hanke, Conjugate Gradient Type Methods for Ill-Posed Problems (Longman Scientific and Technical, Harlow, 1995).
4. L. Hörmander, The Analysis of Linear Partial Differential Operators, III (Springer-Verlag, Berlin, 1985).
5. V. A. Kondrat'ev, Boundary problems for elliptic equations in domains with conical or angular points, Trudy Moskov. Mat. Obshch. 16, 209-292 (1967). English translation: Trans. Moscow Mat. Soc. 16, 227-313 (1967).
6. V. A. Kondrat'ev, Boundary problems for elliptic equations in domains with conical or angular points, Trudy Moskov. Mat. Obshch. 16, 209-292 (1967). English translation: Trans. Moscow Mat. Soc. 16, 227-313 (1967).
7. V. A. Kozlov and V. G. Maz'ya, On iterative procedures for solving ill-posed boundary value problems that preserve differential equations, Algebra i Analiz 1, 144-170 (1989). English transl.: Leningrad Math. J. 1, 1207-1228 (1990).
8. V. A. Kozlov and V. G. Maz'ya, On iterative procedures for solving ill-posed boundary value problems that preserve differential equations, Algebra i Analiz 1, 144-170 (1989). English transl.: Leningrad Math. J. 1, 1207-1228 (1990).
9. V. A. Kozlov, V. G. Maz'ya, and J. Rossmann, Elliptic Boundary Value Problems in Domains with Point Singularities (Amer. Math. Soc., Providence, RI 1997).
10. R. Lattès and J.-L. Lions, The Method of Quasi-Reversibility, Applications to Partial Differential Equations (American Elsevier Publishing Co., New York, 1969).
11. p and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, Math. Nachr. 81, 25-82 (1978); Engl. transl. in: Amer. Math. Soc. Transl. Vol. 123, 1-56 (1984).
12. p and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, Math. Nachr. 81, 25-82 (1978); Engl. transl. in: Amer. Math. Soc. Transl. Vol. 123, 1-56 (1984).