Lyapunov-type inequality to general second-order elliptic equations

被引：0
|
作者：
Oza, Priyank [1 ]
机构：
[1] Indian Inst Technol Gandhinagar, Dept Math, Gandhinagar, Gujarat, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 18期
关键词：
Dirichlet and Neumann boundary value problem; Dirichlet form; non-symmetric semigroup; probabilistic representation; BOUNDARY-VALUE-PROBLEMS; STOCHASTIC DIFFERENTIAL-EQUATIONS; OPERATORS;
D O I：
10.1002/mma.10297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish Lyapunov-type inequality for equations concerning general class of second-order non-symmetric elliptic operators with singular coefficients. Our approach is based on the probabilistic representation of solutions and stochastic calculus. We also discuss a Lyapunov-type inequality for equations pertaining to second-order symmetric operator with some regularity assumptions on the coefficients and a nonlinear Neumann boundary condition.
引用
收藏
页码：14688 / 14698
页数：11
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