Application of nonclassical separation of variables to a nonlocal heat problem |
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Authors: | A. Yu. Mokin |
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Affiliation: | 19729. Moscow State University, Moscow, Russia
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Abstract: | We consider an initial-boundary value problem for the heat equation with a nonlocal two-point boundary condition containing a parameter. By separating the variables in an auxiliary function system, we construct a regular solution. We obtain sufficient conditions for the absolute and uniform convergence of the series in the auxiliary system. We prove conditions close to necessary ones for the existence of a regular solution of the initial-boundary value problem. |
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