In this paper we study the first initial boundary value problem for a class of quasilinear degene... more In this paper we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The long-time behavior of solutions to that problem is considered via the concept of global attractors for multi-valued semiflows.
In this article, we study the existence and the upper semicontinuity with respect to the nonlinea... more In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Using a varational method, we prove an existence result depending on a parameter, for a semilinea... more Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator.
Nodea-nonlinear Differential Equations and Applications, 2010
In this paper we consider the initial boundary value problem for a class of quasilinear parabolic... more In this paper we consider the initial boundary value problem for a class of quasilinear parabolic equations involving weighted p-Laplacian operators in an arbitrary domain, in which the conditions imposed on the non-linearity provide the global existence, but not uniqueness of solutions. The long-time behavior of the solutions to that problem is considered via the concept of global attractor for multi-valued semiflows. The obtained results recover and extend some known results related to the p-Laplacian equations.
The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate... more The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
By analyzing uniform attractor for multi-valued processes, we study the long-time behavior of the... more By analyzing uniform attractor for multi-valued processes, we study the long-time behavior of the solutions of a model of nonautonomous porous-medium equations. The result is obtained by using the priori estimates and the suitable compactness arguments.
Journal of Mathematical Analysis and Applications, 2010
Using theory of global attractors for multi-valued semiflows, we prove the existence of a global ... more Using theory of global attractors for multi-valued semiflows, we prove the existence of a global attractor for the m-semiflow generated by a parabolic equation involving the nonlinear degenerate operator in a bounded domain.
Our aim is to study fractional order differential inclusions with infinite delays in Banach space... more Our aim is to study fractional order differential inclusions with infinite delays in Banach spaces. We impose the regularity condition on multivalued nonlinearity in terms of measures of noncompactness to get the existence result. Some properties of the solution map are proved.
We study the controllability for a class of semilinear control problems in Hilbert spaces, for wh... more We study the controllability for a class of semilinear control problems in Hilbert spaces, for which the uniqueness is unavailable. Using the fixed point theory for multivalued maps with nonconvex values, we show that the nonlinear problem is approximately controllable provided that the corresponding linear problem is. We also obtain some results on the continuity of solution map and the topological structure of the solution set of the mentioned problem.
In this paper we study the first initial boundary value problem for a class of quasilinear degene... more In this paper we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The long-time behavior of solutions to that problem is considered via the concept of global attractors for multi-valued semiflows.
In this article, we study the existence and the upper semicontinuity with respect to the nonlinea... more In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Using a varational method, we prove an existence result depending on a parameter, for a semilinea... more Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator.
Nodea-nonlinear Differential Equations and Applications, 2010
In this paper we consider the initial boundary value problem for a class of quasilinear parabolic... more In this paper we consider the initial boundary value problem for a class of quasilinear parabolic equations involving weighted p-Laplacian operators in an arbitrary domain, in which the conditions imposed on the non-linearity provide the global existence, but not uniqueness of solutions. The long-time behavior of the solutions to that problem is considered via the concept of global attractor for multi-valued semiflows. The obtained results recover and extend some known results related to the p-Laplacian equations.
The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate... more The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
By analyzing uniform attractor for multi-valued processes, we study the long-time behavior of the... more By analyzing uniform attractor for multi-valued processes, we study the long-time behavior of the solutions of a model of nonautonomous porous-medium equations. The result is obtained by using the priori estimates and the suitable compactness arguments.
Journal of Mathematical Analysis and Applications, 2010
Using theory of global attractors for multi-valued semiflows, we prove the existence of a global ... more Using theory of global attractors for multi-valued semiflows, we prove the existence of a global attractor for the m-semiflow generated by a parabolic equation involving the nonlinear degenerate operator in a bounded domain.
Our aim is to study fractional order differential inclusions with infinite delays in Banach space... more Our aim is to study fractional order differential inclusions with infinite delays in Banach spaces. We impose the regularity condition on multivalued nonlinearity in terms of measures of noncompactness to get the existence result. Some properties of the solution map are proved.
We study the controllability for a class of semilinear control problems in Hilbert spaces, for wh... more We study the controllability for a class of semilinear control problems in Hilbert spaces, for which the uniqueness is unavailable. Using the fixed point theory for multivalued maps with nonconvex values, we show that the nonlinear problem is approximately controllable provided that the corresponding linear problem is. We also obtain some results on the continuity of solution map and the topological structure of the solution set of the mentioned problem.
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Papers by Ke Tran Dinh