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

页码：14688 / 14698

页数：11

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