Add to ORKGWe study a multidimensional system of two loaded parabolic equations of a special kind with the Cauchy data. Sufficient conditions for the existence of a solution in the class of smooth bounded functions are obtained. The splitting method at differential level (the method of weak approximation) is used in the proofИсследована многомерная система двух параболических нагруженных уравнений специального вида в случае данных Коши. Получены достаточные условия существования решения в классе глад- ких ограниченных функций. Для доказательства используется метод расщепления на дифферен- циальном уровне (метод слабой аппроксимации
It is proved the theorem of increasing smooth for weak solutions of the Cauchy problem for abstract ...
The existence and uniqueness theorem of a periodic solution of a linear parabolic equation with a bo...
The parametrization method is used to investigate a linear two-point boundary value problem for a sy...
We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauc...
We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness...
The classification of the weak solutions to Dirichlet initial boundary value problemassociated with ...
This paper considers a one-dimensional parabolic Burgers equation of special form with Cauchy data....
This paper considers a one-dimensional parabolic Burgers equation of special form with Cauchy data....
We consider the Cauchy problem for a loaded partial differential equation arising in coefficient inv...
The second initial-boundary value problem for a parabolic equation is under study. The term in the ...
For boundary problems in case of systems of the linear ordinary differential equations of the first ...
We discuss solvability and some extra regularity properties for the weak solutions toone class of th...
An inverse boundary problem for a parabolic equation is analyzed in the article. For the stable appr...
An inverse boundary-value problem for n-dimensional parabolic equation with a parameter is considere...
The existence, uniqueness and continuous dependence theorem of strong solutions of the Cauchy proble...
It is proved the theorem of increasing smooth for weak solutions of the Cauchy problem for abstract ...
The existence and uniqueness theorem of a periodic solution of a linear parabolic equation with a bo...
The parametrization method is used to investigate a linear two-point boundary value problem for a sy...
We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauc...
We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness...
The classification of the weak solutions to Dirichlet initial boundary value problemassociated with ...
This paper considers a one-dimensional parabolic Burgers equation of special form with Cauchy data....
This paper considers a one-dimensional parabolic Burgers equation of special form with Cauchy data....
We consider the Cauchy problem for a loaded partial differential equation arising in coefficient inv...
The second initial-boundary value problem for a parabolic equation is under study. The term in the ...
For boundary problems in case of systems of the linear ordinary differential equations of the first ...
We discuss solvability and some extra regularity properties for the weak solutions toone class of th...
An inverse boundary problem for a parabolic equation is analyzed in the article. For the stable appr...
An inverse boundary-value problem for n-dimensional parabolic equation with a parameter is considere...
The existence, uniqueness and continuous dependence theorem of strong solutions of the Cauchy proble...
It is proved the theorem of increasing smooth for weak solutions of the Cauchy problem for abstract ...
The existence and uniqueness theorem of a periodic solution of a linear parabolic equation with a bo...
The parametrization method is used to investigate a linear two-point boundary value problem for a sy...