Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data

In this paper, we prove global weighted Lorentz and Lorentz-Morrey estimates for gradients of solutions to the quasilinear parabolic equations: in a bounded domain , under minimal regularity assumptions on the boundary of domain and on nonlinearity A. Then results yields existence of a solution to the Riccati type parabolic equations: where and is a bounded Radon measure.


Published in:
Calculus Of Variations And Partial Differential Equations, 54, 4, 3927-3948
Year:
2015
Publisher:
Heidelberg, Springer Heidelberg
ISSN:
0944-2669
Laboratories:




 Record created 2016-02-16, last modified 2018-09-13


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