AbstractThe present paper is concerned with the first boundary value problem for a certain class of quasilinear non-uniformly parabolic equations. New a priori estimates of the solution and of its gradient are obtained. These are independent of the smoothness of the coefficients. Existence and uniqueness theorems are proved
We prove new existence and uniqueness results for weak solutions to non-homogeneous initial-boundary...
We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion te...
There is given a sharp existence, uniqueness, and continuity theorem for quasilinear parabolic evolu...
AbstractThe present paper is concerned with the first boundary value problem for a certain class of ...
We prove local existence, uniqueness, Hölder regularity in space and time, and smooth dependence in ...
Abstract: We consider the first boundary value problem for quasilinear parabolic differential–differ...
AbstractIn this paper we develop a unifying method to prove the existence and uniqueness of weak sol...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
AbstractThis paper is concerned with a class of quasilinear parabolic equations with singularity and...
We prove several uniform L(1)-estimates on solutions of a general class of one-dimensional parabolic...
AbstractIn the present paper we consider the Dirichlet problem for quasilinear nonuniformly paraboli...
Abstract This paper is concerned with a kind of first-order quasilinear parabolic partial differenti...
In this paper we develop a unifying method to prove the existence and uniqueness of weak solutions f...
The purpose of this work is to investigate the uniqueness and existence of local solutions for the b...
We prove new existence and uniqueness results for weak solutions to non-homogeneous initial-boundary...
We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion te...
There is given a sharp existence, uniqueness, and continuity theorem for quasilinear parabolic evolu...
AbstractThe present paper is concerned with the first boundary value problem for a certain class of ...
We prove local existence, uniqueness, Hölder regularity in space and time, and smooth dependence in ...
Abstract: We consider the first boundary value problem for quasilinear parabolic differential–differ...
AbstractIn this paper we develop a unifying method to prove the existence and uniqueness of weak sol...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
AbstractThis paper is concerned with a class of quasilinear parabolic equations with singularity and...
We prove several uniform L(1)-estimates on solutions of a general class of one-dimensional parabolic...
AbstractIn the present paper we consider the Dirichlet problem for quasilinear nonuniformly paraboli...
Abstract This paper is concerned with a kind of first-order quasilinear parabolic partial differenti...
In this paper we develop a unifying method to prove the existence and uniqueness of weak solutions f...
The purpose of this work is to investigate the uniqueness and existence of local solutions for the b...
We prove new existence and uniqueness results for weak solutions to non-homogeneous initial-boundary...
We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion te...
There is given a sharp existence, uniqueness, and continuity theorem for quasilinear parabolic evolu...