A stability result for a class of nonlinear integrodifferential equations with L1 kernels

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2008-01-01 DOI:10.4064/AM35-4-2

P. Cannarsa, D. Sforza

引用次数: 13

Abstract

We study the generation of analytic semigroups in the L-2 topology by second order elliptic operators in divergence form, that may degenerate at the boundary of the space domain. Our results, that hold in two space dimensions, guarantee that the solutions of the corresponding evolution problems support integration by parts. So, this paper provides the basis for deriving Carleman type estimates for degenerate parabolic operators.

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一类具有L1核的非线性积分微分方程的稳定性结果

研究了L-2拓扑上可在空间域边界简并的二阶散度椭圆算子生成解析半群的问题。我们的结果在两个空间维度上成立，保证了相应演化问题的解支持分部积分。因此，本文为导出退化抛物算子的Carleman型估计提供了依据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.