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Parabolic equations with nonlocal conditions. (English) Zbl 1129.35429

Summary: We study a boundary value problem for a class of parabolic equations with nonlocal conditions. We prove the existence and uniqueness of the solution, using a priori estimate and Fourier’s method.

MSC:

35K20 Initial-boundary value problems for second-order parabolic equations
35B45 A priori estimates in context of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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