随机游走空间上扰动1-拉普拉斯算子的演化问题。

IF 1.4 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2025-01-01 Epub Date: 2025-05-21 DOI:10.1007/s00208-025-03180-z

W Górny, J M Mazón, J Toledo

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引用次数: 0

摘要

随机行走空间是研究偏微分方程的一般框架。它们包括局部有限加权连通图和涉及rn上对称可积核的非局部集合。我们感兴趣的是研究涉及两个随机游走结构的进化问题，使得相关的函数在每个结构上具有不同的生长。我们还处理了在随机漫步的分区上具有不同生长的泛函的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Evolution problems with perturbed 1-Laplacian type operators on random walk spaces.

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Evolution problems with perturbed 1-Laplacian type operators on random walk spaces.

Random walk spaces are a general framework for the study of PDEs. They include as particular cases locally finite weighted connected graphs and nonlocal settings involving symmetric integrable kernels on $R^{N}$ . We are interested in the study of evolution problems involving two random walk structures so that the associated functionals have different growth on each structure. We also deal with the case of a functional with different growth on a partition of the random walk.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.