The Cauchy problem for nonlinear parabolic equations with Levy Laplacian

被引：2

作者：

Albeverio, S

Belopolskaya, Y

Feller, M

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] BiBoS, Bielefeld, Germany

[3] CERFIM, Locarno, Switzerland

[4] St Petersburg State Univ Architecture & Civil Eng, St Petersburg 190005, Russia

[5] UkrNIIMOD, UA-03680 Kiev, Ukraine

来源：

POTENTIAL ANALYSIS | 2006年 / 24卷 / 02期

关键词：

Levy Laplacian; nonlinear parabolic equations; the Cauchy problem;

D O I：

10.1007/s11118-005-3886-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A solution to the Cauchy problem for a rather general class of nonlinear parabolic equations involving the infinite-dimensional Laplacian Delta(L) of the form f (U(t, x), partial derivative U(t, x)/partial derivative t, Delta(L)U( t, x)) = 0, where f is a real function defined on R-3 is presented.

引用

页码：125 / 136

页数：12

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