AbstractWe show the existence of a continuous solution to a nonlinear parabolic obstacle problem with a continuous time-dependent obstacle. The solution is constructed by an adaptation of the Schwarz alternating method. Moreover, if the obstacle is Hölder continuous, we prove that the solution inherits the same property
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumpt...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
Abstract. We show the existence of a continuous solution to a nonlinear parabolic obstacle problem w...
AbstractWe show the existence of a continuous solution to a nonlinear parabolic obstacle problem wit...
Using the penalty method, we prove the existence of solutions to nonlinear parabolic unilateral pro...
We consider the obstacle problem for the parabolic biharmonic equation. We study the problem via an ...
This paper is devoted to continuity results of the time derivative of the solution to the one-dimens...
This dissertation studies regularity and existence questions related to nonlinear parabolic partial ...
We prove that weak solutions to the obstacle problem for the porous medium equation are locally Höld...
Combining a consequence of the Michael continuous selection theorem and iterative shem, we prove the...
We prove that the obstacle problem for a non-uniformly parabolic operator of Kolmogorov type, with C...
This paper is concerned with a fully non-linear variant of the Allen-Cahn equation with strong irrev...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
Obstacle identification problems for parabolic equations and systems are considered. Unique continua...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumpt...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
Abstract. We show the existence of a continuous solution to a nonlinear parabolic obstacle problem w...
AbstractWe show the existence of a continuous solution to a nonlinear parabolic obstacle problem wit...
Using the penalty method, we prove the existence of solutions to nonlinear parabolic unilateral pro...
We consider the obstacle problem for the parabolic biharmonic equation. We study the problem via an ...
This paper is devoted to continuity results of the time derivative of the solution to the one-dimens...
This dissertation studies regularity and existence questions related to nonlinear parabolic partial ...
We prove that weak solutions to the obstacle problem for the porous medium equation are locally Höld...
Combining a consequence of the Michael continuous selection theorem and iterative shem, we prove the...
We prove that the obstacle problem for a non-uniformly parabolic operator of Kolmogorov type, with C...
This paper is concerned with a fully non-linear variant of the Allen-Cahn equation with strong irrev...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
Obstacle identification problems for parabolic equations and systems are considered. Unique continua...
We prove the existence of a unique viscosity solution to certain systems of fully nonlinear paraboli...
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumpt...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
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