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arXiv · 2206.03821

Regularity conditions for solutions to some parabolic systems

Oleksandr Diachenko·Valerii Los
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Abstract

We investigate global and local regularity of generalized solutions to parabolic initial-boundary value problem for Petrovskii system of second order differential equations. Results are formulated in terms of the belonging of right-hand sides of the problem to some generalized Sobolev spaces. We also obtain new sufficient conditions under which the generalized solution should be classical.

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Oleksandr Diachenko, Valerii Los. 2022-06-08. Regularity conditions for solutions to some parabolic systems. https://arxiv.org/abs/2206.03821

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