Inverse Problem for an Equation with A Nonstandard Growth Condition
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DOI: 10.1134/s0021894419020081
Abstract: This paper describes an inverse problem for determining the right side of a parabolic equation with a nonstandard growth condition and integral overdetermination condition. The Galerkin method is used to prove the existence of two… read more here.
Keywords: nonstandard growth; problem; equation nonstandard; growth condition ... See more keywords
On Solutions of a Parabolic Equation with Nonstandard Growth Condition
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DOI: 10.1155/2020/9397620
Abstract: A parabolic equation with nonstandard growth condition is considered. A kind of weak solution and a kind of strong solution are introduced, respectively; the existence of solutions is proved by a parabolically regularized method. The… read more here.
Keywords: equation nonstandard; parabolic equation; nonstandard growth; condition ... See more keywords