STOCHASTIC NONLINEAR PSEUDOPARABOLIC EQUATIONS ON A HALF-LINE

被引：0
|
作者：
Juarez-Campos, Beatriz [1 ]
Sotelo-Garcia, Norma [1 ]
Vazquez-Esquivel, Alexis V. [1 ]
机构：
[1] Tecnol Nacl Mexico, Inst Tecnol Morelia, Ave Tecnol 1500,Lomas Santiaguito, Morelia 58120, Michoacan, Mexico
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2024年 / 37卷 / 5-6期
关键词：
PARTIAL-DIFFERENTIAL-EQUATIONS; NOISE BOUNDARY-CONDITIONS; SCHRODINGER-EQUATION; BEHAVIOR; PDES;
D O I：
10.57262/die037-0506-287
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the stochastic nonlinear pseudoparabolic equations on the half-line with Dirichlet noise boundary conditions. We establish the local existence and uniqueness of the solution to the initialboundary value problem with values in an appropriate weighted space. We are also interested in the regularity behavior of the solution, especially near the origin, where the boundary data are highly irregular.
引用
收藏
页码：287 / 308
页数：22
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