We consider an initial-boundary value problem for a partial differential equation with mixed third derivative and small parameter. We establish the existence and uniqueness of a solution to the limit problem. The solution is found in an analytic form. We study the behavior of the solution to the prelimit problem for small parameter.
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Translated from Problemy Matematicheskogo Analiza 110, 2021, pp. 95-103.
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Uskov, V.I. Initial–Boundary Value Problem for Perturbed Third Order Partial Differential Equations. J Math Sci 255, 779–789 (2021). https://doi.org/10.1007/s10958-021-05415-1
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DOI: https://doi.org/10.1007/s10958-021-05415-1