Uniqueness of the Entropy Solution of the Dirichlet Problem foran Elliptic Equation with a Measure-Valued Potential in a Hyperbolic Space

被引:0
|
作者
Vildanova, V. F. [1 ]
机构
[1] Russian Acad Sci, Inst Math Comp Ctr, Res Ctr, Subdiv Ufa Fed, Ufa 450008, Russia
关键词
nonlinear equation; entropy solution; hyperbolic space; RENORMALIZED SOLUTIONS;
D O I
10.1134/S0012266124120061
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the Dirichlet problem in the hyperbolic space for a nonlinear second-order equation with a measure-valued potential. The assumptions on the structure of the equation are stated in terms of a generalized \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N$$\end{document}-function. The uniqueness of the entropy solution of the problem is proved.
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页码:1708 / 1718
页数:11
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