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On a boundary value problem for a linear loaded parabolic equation with nonlocal boundary conditions. (Russian) Zbl 0768.35036

There are established existence, uniqueness and continuous dependence on data for solutions to BVP of linear parabolic type with nonlocal boundary conditions.

MSC:

35K20 Initial-boundary value problems for second-order parabolic equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B35 Stability in context of PDEs
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