Gevrey problem for parabolic equations with changing time direction.

Pulkin, Igor S.

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Representation of the norming constants by two spectra.

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Existence of solutions for one-dimensional wave equations with nonlocal conditions.

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Initial-boundary value problems in a plane corner for the heat equation.

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Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

Tsankov, Yulian (2010)

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MSC 2010: 44A35, 35L20, 35J05, 35J25 In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too. ...