Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries
Calculus of Variations and Partial Differential Equations(2022)
摘要
The weak well-posedness, with the mixed boundary conditions, of the strongly damped linear wave equation and of the non linear Westervelt equation is proved in a large natural class of Sobolev admissible non-smooth domains. In the framework of uniform domains in ℝ^2 or ℝ^3 we also validate the approximation of the solution of the Westervelt equation on a fractal domain by the solutions on the prefractals using the Mosco convergence of the corresponding variational forms.
更多查看译文
关键词
28A80, 35L05, 35L72
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要