Document Zbl 1289.35145

On the solvability of some spatial nonlocal boundary value problems for parabolic equations with discontinuous coefficients. (Russian. English summary) Zbl 1289.35145

Mat. Zamet. YAGU 20, No. 1, 160-181 (2013).

Summary: We prove uniqueness and existence theorems for some spatial nonlocal boundary value problems for parabolic equations with discontinuous coefficients.

MSC:

35K20	Initial-boundary value problems for second-order parabolic equations
35B45	A priori estimates in context of PDEs

Keywords:

nonlocal boundary condition; integral condition; equation with discontinuous coefficients; regular solution; a priori estimate; uniqueness; existence

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