A Uniform Resolvent Estimate for a Helmholtz Equation with Some Large Perturbations in An Exterior Domain

A Uniform Resolvent Estimate for a Helmholtz Equation with Some Large Perturbations in An Exterior Domain
复制标题

外域有大扰动的亥姆霍兹方程的一致解估计

DOI：
10.1007/978-3-030-87502-2_63
复制
发表时间：
2022
期刊：
Current Trends in Analysis, its Applications and Computation. Trends in Mathematics
影响因子：
--
通讯作者：
Hideo Nakazawa
Hideo Nakazawa
中科院分区：
--
文献类型：
--
作者：
Cornean Horia D.;Michelangeli Alessandro;Yajima Kenji;倉田　和浩;Hideo Nakazawa

文献摘要

相似文献

我们得到了一个不满足小性条件的定常耗散波动方程的一致预解式估计。现有的结果要求耗散系数满足一个小的条件。本文取消了小的假设。我们的证明是基于固定问题的能量估计。
We derive a uniform resolvent estimate for a stationary dissipative wave equation without smallness conditions. Existing results required a smallness condition for the coefficient of the dissipation. This paper removes the assumption of the smallness. Our proof is based on an energy estimate for stationary problems.