Of concern is the singular problem (formula present) and its generalizations. Here c (formula present) and/and w0 are nonnegative and not both identically zero. There is a dimension dependent constant C∗(N) such that the problem has no solution for (formula present) necessary and sufficient conditions are found for/and u0 so that a nonnegative solution exists. © 1984 American Mathematical Society
In commonly used mathematics text-books for engineers the heat equation is sol ved in dimension one ...
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works n...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
In this paper we consider the heat equation with strongly singular potentials and prove that it has ...
19 pages, 11 figures. This work is a continuation of the series of studies of authors arXiv:2004.101...
The aim of this paper is to investigate the well-posedness of the Cauchy problem 02_t u= 06u +V(x) ...
The aim of this paper is to employ a strategy known from fluid dynamics in order to provide results ...
In this paper we consider the heat equation with a strongly singular potential and show that it has ...
Using a new method, we generalize the blow up and existence result from P. Baras and J. A. Goldstein...
Abstract. This article concerns the nonnegative solutions to the Cauchy problem ut −∆u+ b(x, t)|u|p−...
AbstractUsing a new method, we generalize the blow up and existence result from P. Baras and J. A. G...
AbstractIn this paper we are concerned with the Dirichlet problem for the one-dimensional nonlinear ...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
The paper studies, among other things, two types of possible singularities of the solution to the he...
AbstractWe introduce various classes of potentials on [0, T]×Rn and study the corresponding nonauton...
In commonly used mathematics text-books for engineers the heat equation is sol ved in dimension one ...
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works n...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
In this paper we consider the heat equation with strongly singular potentials and prove that it has ...
19 pages, 11 figures. This work is a continuation of the series of studies of authors arXiv:2004.101...
The aim of this paper is to investigate the well-posedness of the Cauchy problem 02_t u= 06u +V(x) ...
The aim of this paper is to employ a strategy known from fluid dynamics in order to provide results ...
In this paper we consider the heat equation with a strongly singular potential and show that it has ...
Using a new method, we generalize the blow up and existence result from P. Baras and J. A. Goldstein...
Abstract. This article concerns the nonnegative solutions to the Cauchy problem ut −∆u+ b(x, t)|u|p−...
AbstractUsing a new method, we generalize the blow up and existence result from P. Baras and J. A. G...
AbstractIn this paper we are concerned with the Dirichlet problem for the one-dimensional nonlinear ...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
The paper studies, among other things, two types of possible singularities of the solution to the he...
AbstractWe introduce various classes of potentials on [0, T]×Rn and study the corresponding nonauton...
In commonly used mathematics text-books for engineers the heat equation is sol ved in dimension one ...
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works n...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
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