Semilinear Venttsel’ Problems in Fractal Domains

Maria Rosaria Lancia; Paola Vernole

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Semilinear Venttsel’ Problems in Fractal Domains

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摘要

We study a semilinear parabolic problem with a semilinear dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution, are established via a semigroup approach. A sufficient condition on the initial datum for global existence is given.

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来源
《应用数学（英文）》 |2014年第12期|1820-1833|共14页
作者
Maria Rosaria Lancia; Paola Vernole;
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作者单位

Dipartimento di Matematica;

Università degli Studi di Roma “La Sapienza”;

Roma;

Italy;

Dipartimento di Scienze di Base e Applicate per l’Ingegneria;

Università degli Studi di Roma “La Sapienza”;

Roma;

Italy;

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原文格式 PDF
正文语种 chi
中图分类数学;
关键词
Energy; Forms; Fractal; Domains; Trace; Theorems; Semigroups; Semilinear; Parabolic; Equations;

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Semilinear Venttsel’ Problems in Fractal Domains

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