Existence of Lipschitz continuous solutions to the Cauchy–Dirichlet problem for anisotropic parabolic equations
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DOI: 10.1016/j.jfa.2017.02.014
Abstract: Abstract The Cauchy–Dirichlet and the Cauchy problem for the degenerate and singular quasilinear anisotropic parabolic equations are considered. We show that the time derivative u t of a solution u belongs to L ∞ under… read more here.
Keywords: cauchy dirichlet; existence lipschitz; anisotropic parabolic; parabolic equations ... See more keywords
Existence of weak solutions of doubly nonlinear parabolic equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.024
Abstract: Abstract We deal with a Cauchy–Dirichlet problem with homogeneous boundary conditions on the parabolic boundary of a space–time cylinder for doubly nonlinear parabolic equations, whose prototype is ∂ t u − div ( | u… read more here.
Keywords: cauchy dirichlet; existence weak; nonlinear parabolic; doubly nonlinear ... See more keywords