The uniqueness investigation of generalized solutions of the first mixed problem with exceptional sets on a region bound is the aim of the paper. As a result solution uniqueness theorems of the first mixed problem for parabolic and degenerating parabolic equations of the second order have been proved. The paper has the theoretical character. The paper results may find their field of application in partial equationsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
Bogachev VI, Röckner M, Shaposhnikov SV. On uniqueness of solutions to the Cauchy problem for degene...
The usual weak formulation of parabolic problems, in the case where the data are in L1, does not ens...
AbstractThe purpose of the paper is to give two theorems about the uniqueness of solutions of parabo...
We provide criteria for uniqueness or nonuniqueness of bounded solutions for a wide class of second ...
Uniqueness and nonuniqueness of solutions to the first initial-boundary value problem for degenerate...
The aim of this paper is to prove existence and uniqueness of a gener-alized solution for certain pa...
The paper is aimed at the problem investigation of the explicit analytical representation of the con...
We investigate uniqueness of solutions to the initial value problem for degenerate parabolic equatio...
The work is devoted to the investigation of the problem on the solubility on the whole (according to...
AbstractAn elementary proof for the existence of solutions to semilinear degenerate parabolic equati...
The resotoration problem for coefficients of a parabolic equation is investigated in the paper aimin...
We prove some uniqueness results for weak solutions to some classes of nonlinear parabolic equations...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
The authors show the uniqueness of the ``good solution'' to the Cauchy-Dirichlet problem for linear ...
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where n...
Bogachev VI, Röckner M, Shaposhnikov SV. On uniqueness of solutions to the Cauchy problem for degene...
The usual weak formulation of parabolic problems, in the case where the data are in L1, does not ens...
AbstractThe purpose of the paper is to give two theorems about the uniqueness of solutions of parabo...
We provide criteria for uniqueness or nonuniqueness of bounded solutions for a wide class of second ...
Uniqueness and nonuniqueness of solutions to the first initial-boundary value problem for degenerate...
The aim of this paper is to prove existence and uniqueness of a gener-alized solution for certain pa...
The paper is aimed at the problem investigation of the explicit analytical representation of the con...
We investigate uniqueness of solutions to the initial value problem for degenerate parabolic equatio...
The work is devoted to the investigation of the problem on the solubility on the whole (according to...
AbstractAn elementary proof for the existence of solutions to semilinear degenerate parabolic equati...
The resotoration problem for coefficients of a parabolic equation is investigated in the paper aimin...
We prove some uniqueness results for weak solutions to some classes of nonlinear parabolic equations...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
The authors show the uniqueness of the ``good solution'' to the Cauchy-Dirichlet problem for linear ...
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where n...
Bogachev VI, Röckner M, Shaposhnikov SV. On uniqueness of solutions to the Cauchy problem for degene...
The usual weak formulation of parabolic problems, in the case where the data are in L1, does not ens...
AbstractThe purpose of the paper is to give two theorems about the uniqueness of solutions of parabo...