RT Journal Article
T1 Energy and large time estimates for nonlinear porous medium ow with nonlocal pressure in RN
A1 Dao, Nguyen Anh
A1 Díaz, Ildefonso Jesús
AB We study the general family of nonlinear evolution equations of fractional diffusive type [delta]u-div(|u|m1[nabla]([delta]-s||u||m2-1u|= f. Such type of nonlocal equationsare related to the porous medium equations with a fractional Laplacian pressure.Our study concerns the case in which the ow takes place in the whole space. We consider m1;m2 > 0, and s 2 (0; 1), and prove existence of weak solutions. Moreover, when f _ 0 we obtain the Lp-L1 decay estimates of solutions, for p _ 1. Besides, we also investigate the _nite time extinction of solution. Our results improve the recent papers in the literature.
PB Springer
SN 0003-9527
YR 2020
FD 2020-06-12
LK https://hdl.handle.net/20.500.14352/7242
UL https://hdl.handle.net/20.500.14352/7242
LA eng
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RD 2 dic 2023