Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent...
Sabri, Abdelali; Jamea, Ahmed; Alaoui, Hamad Talibi
2020-06-01 00:00:00
AbstractIn the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngCommunications in Mathematicsde Gruyterhttp://www.deepdyve.com/lp/de-gruyter/existence-of-entropy-solutions-to-nonlinear-degenerate-parabolic-qHuMWcar1d
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
AbstractIn the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
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