Uniqueness of solutions to inverse parabolic problems

• Autorzy: Brandys, J. , Byszewski, L.
• Języki publikacji: EN

Abstrakty

EN

The uniqueness of classical solutions to inverse parabolic semilinear problems together with nonstandard initial conditions, for the operator [formula].

Słowa kluczowe

EN

inverse problem; parabolic problems; semilinear equation; nonstandard initial condition; uniqueness of solutions

• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(1)
• Strony: 17-30
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Brandys, J.

• Cracow University of Technology, Independent Division of Descriptive Geometry and Engineering Graphics, Warszawska 24, 31-155 Cracow, Poland

autor

Byszewski, L.

• Cracow University of Technology, Institute of Mathematics, Warszawska 24, 31-155 Cracow, Poland

Bibliografia

• [1] N. J. Beznoshchenko and A. I. Prilenko, Inverse problems for parabolic equations, in: Problems of Mathematical Physics and Computational Mathematics, Nauka, Moscow 1977, 51-63 (in Russian).
• [2] L. Byszewski, Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems, J. Math. Anal. Appl. 165.2 (1992), 472-478.
• [3] L. Byszewski, Differential and Functional-Differential Problems with Nonlocal Conditions, Cracow University of Technology Monographs, Monograph 184, Cracow 1995 (in Polish).
• [4] J. Chabrowski, On nonlocal problems for parabolic equations, Nagoya Math. J. 93 (1984), 109-131.
• [5] M. Krzyżański, Partial Differential Equations of Second Order, Vol. 1, PWN (Polish Scientific Publishers), Warsaw 1971.
• [6] R. Rabczuk, Elements of Differential Inequalities, PWN (Polish Scientific Publishers), Warsaw 1976 (in Polish).