The main purpose in this paper is to investigate existence and non-existence of global solutions of the initial Dirichlet-boundary value problem for evolution equations with the strong dissipation. Many authors studied some classes consisting of such type of equations for which initial boundary value problems possess global solutions. For this purpose we consider a related problem and seek global solutions ans blow-up solutions depending on whether it belongs to such classes or not
AbstractThis paper deals with the higher-order Kirchhoff-type equation with nonlinear dissipationutt...
In the paper we first establish the local well-posedness for a family of nonlinear dispersive equati...
In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction...
The main purpose in this paper is to investigate existence and non-existence of global solutions of ...
AbstractIn this paper we continue the existence theories of classical solutions of nonlinear evoluti...
AbstractIn this paper we continue the existence theories of classical solutions of nonlinear evoluti...
summary:The global in time solvability of the one-dimensional nonlinear equations of thermoelasticit...
AbstractIn this paper we establish the global existence of classical solutions of the first-initial-...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
AbstractIn this paper we consider the problem of noncontinuation of solutions of the initial value p...
In this article we focus on the global well-posedness of an initial-boundary value problem for a non...
The initial boundary value problem for a class of hyperbolic equations with strong dissipative term...
In this paper, we study an initial-boundary value problem for a doubly nonlinear diffusion equation ...
In this work we are concerned with the existence of strong solutions and exponential decay of the to...
Abstract. In this paper we consider the problem of non-continuation of solutions of the initial valu...
AbstractThis paper deals with the higher-order Kirchhoff-type equation with nonlinear dissipationutt...
In the paper we first establish the local well-posedness for a family of nonlinear dispersive equati...
In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction...
The main purpose in this paper is to investigate existence and non-existence of global solutions of ...
AbstractIn this paper we continue the existence theories of classical solutions of nonlinear evoluti...
AbstractIn this paper we continue the existence theories of classical solutions of nonlinear evoluti...
summary:The global in time solvability of the one-dimensional nonlinear equations of thermoelasticit...
AbstractIn this paper we establish the global existence of classical solutions of the first-initial-...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
AbstractIn this paper we consider the problem of noncontinuation of solutions of the initial value p...
In this article we focus on the global well-posedness of an initial-boundary value problem for a non...
The initial boundary value problem for a class of hyperbolic equations with strong dissipative term...
In this paper, we study an initial-boundary value problem for a doubly nonlinear diffusion equation ...
In this work we are concerned with the existence of strong solutions and exponential decay of the to...
Abstract. In this paper we consider the problem of non-continuation of solutions of the initial valu...
AbstractThis paper deals with the higher-order Kirchhoff-type equation with nonlinear dissipationutt...
In the paper we first establish the local well-posedness for a family of nonlinear dispersive equati...
In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction...