Regularity and existence of solutions to parabolic equations with nonstandard p(x,t),q(x,t)-growth conditions
We study the Cauchy-Dirichlet problem for a class of nonlinear parabolic equations driven by nonstandard \(p(x,t),q(x,t)\)-growth condition. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time \(L^{\infty}\) bounds for th...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2023-07-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol43/6/art/opuscula_math_4336.pdf |