A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical

Valerii Los

A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical

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arxiv 2006.00553 v1 pith:JZJKP274 submitted 2020-05-31 math.AP

Valerii Los This is my paper · ORCID

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keywords conditionproblemclassicalgeneralizedparabolicpetrovskiisolutionssystem

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We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic H\"ormander spaces.

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