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New integral relations for analytic solutions of parabolic-type equations in non-cylindrical domains. (Russian) Zbl 1058.35508

In this article a general method for the solution of boundary-value problems for equations of parabolic type in non-cylindrical domains having numerous practical applications is offered.

MSC:

35C15 Integral representations of solutions to PDEs
35A20 Analyticity in context of PDEs
35K20 Initial-boundary value problems for second-order parabolic equations