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The Second Boundary-Value Problem for Pseudoparabolic Equations in Noncylindrical Domains

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Abstract

This paper is devoted to the study of the solvability of the second mixed problem in a noncylindrical domain for the nonstationary equation

$${\text{div}}(k(x){\text{ grad }}u_t ) - c(x)u_t - b(x)u(x,t) = f(x,t)$$

called the pseudoparabolic equation. We prove existence and uniqueness theorems for the solution in the case of contracting (as time t increases) domains.

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Authors and Affiliations

  1. Chelyabinsk State University, Russia

    M. V. Ivanova & V. I. Ushakov

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  1. M. V. Ivanova
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  2. V. I. Ushakov
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Ivanova, M.V., Ushakov, V.I. The Second Boundary-Value Problem for Pseudoparabolic Equations in Noncylindrical Domains. Mathematical Notes 72, 43–47 (2002). https://doi.org/10.1023/A:1019812920385

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  • DOI: https://doi.org/10.1023/A:1019812920385

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