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Nonlocal boundary-value problems for PDE: well-posedness. (English) Zbl 1119.35336
Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 325-331 (2004).
Summary: We consider the nonlocal boundary-value problems for parabolic and elliptic differential equations. The coercive inequalities for the solution of these nonlocal boundary-value problems are presented.
35K90Abstract parabolic equations
35J67Boundary values of solutions of elliptic equations
35A05General existence and uniqueness theorems (PDE) (MSC2000)