Add to ORKGAbstract. For parabolic obstacle problems with quadratic growth, we give pointwise estimates both for the solutions and their gradients in terms of potentials of the given data. As applications, we derive Lorentz space estimates if the data satisfies the corresponding Lorentz space regularity. Moreover, we discuss a borderline case in the regularity theory, the question of boundedness and continuity of the gradients as well as of the solutions itself
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradien...
This thesis concerns different aspects of regularity theory for weak solutions of nonlinear paraboli...
We study the pointwise regularity of solutions to parabolic equations. As a first result, we prove t...
We prove global Lorentz estimates for variable power of the gradient of weak solution to linear ell...
We consider a class of parabolic systems and equations in divergence form modeled by the evolutionar...
Abstract. We prove sharp Lorentz- and Morrey-space estimates for the gradient of solutions u to nonl...
AbstractWe show the existence of a continuous solution to a nonlinear parabolic obstacle problem wit...
120pIn this paper, we study the existence and regularity of the quasilinear parabolic equations: $$u...
AbstractWe prove the local boundedness of the gradient for positive solutions to a doubly nonlinear ...
AbstractWe prove new potential and nonlinear potential pointwise gradient estimates for solutions to...
We consider a two-obstacle problem for the parabolic biharmonic equation in a bounded domain. We pro...
We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equat...
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
We consider non-homogeneous degenerate and singular parabolic equations of the p-Laplacian type and ...
In this paper we consider nonlinear parabolic systems with elliptic part which can be also degenerat...
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradien...
This thesis concerns different aspects of regularity theory for weak solutions of nonlinear paraboli...
We study the pointwise regularity of solutions to parabolic equations. As a first result, we prove t...
We prove global Lorentz estimates for variable power of the gradient of weak solution to linear ell...
We consider a class of parabolic systems and equations in divergence form modeled by the evolutionar...
Abstract. We prove sharp Lorentz- and Morrey-space estimates for the gradient of solutions u to nonl...
AbstractWe show the existence of a continuous solution to a nonlinear parabolic obstacle problem wit...
120pIn this paper, we study the existence and regularity of the quasilinear parabolic equations: $$u...
AbstractWe prove the local boundedness of the gradient for positive solutions to a doubly nonlinear ...
AbstractWe prove new potential and nonlinear potential pointwise gradient estimates for solutions to...
We consider a two-obstacle problem for the parabolic biharmonic equation in a bounded domain. We pro...
We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equat...
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
We consider non-homogeneous degenerate and singular parabolic equations of the p-Laplacian type and ...
In this paper we consider nonlinear parabolic systems with elliptic part which can be also degenerat...
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradien...
This thesis concerns different aspects of regularity theory for weak solutions of nonlinear paraboli...
We study the pointwise regularity of solutions to parabolic equations. As a first result, we prove t...