@Article{ElBahja2023,
author = "El Bahja, Hamid",
title = "Regularity and existence of solutions to parabolic equations with nonstandard p(x,t),q(x,t)-growth conditions",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "6",
pages = "759--788",
doi = "https://doi.org/10.7494/OpMath.2023.43.6.759",
url = "https://doi.org/10.7494/OpMath.2023.43.6.759",
abstract = "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 the weak solutions.",
keywords = "existence theory, nonlinear parabolic problems, nonstandard growth, regularity theory",
issn = "1232-9274"
}