THE CAUCHY PROBLEM FOR A NONLINEAR FAST DIFFUSION EQUATION

THE CAUCHY PROBLEM FOR A NONLINEAR FAST DIFFUSION EQUATION

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摘要 In this paper, the existence, uniqueness and continuous dependence on initial data for the Cauchy problem of fast diffusion equation is discussed. In this paper, the existence, uniqueness and continuous dependence on initial data for the Cauchy problem of fast diffusion equation is discussed.

作者潘佳庆

出处《Acta Mathematica Scientia》 SCIE CSCD 1999年第S1期512-518,共7页 数学物理学报（B辑英文版）

基金 funs of Fujian proviceeducation committee for scientific research

关键词 NONLINEAR DIFFUSION Cauchy problem Nonlinear, diffusion, Cauchy problem

分类号 O175 [理学—基础数学]

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1穆春来,董光昌.BLOW-UP AND EXISTENCE FOR FAST DIFFUSION EQUATIONS WITH GENERAL NONLINEARITIES[J].Acta Mathematicae Applicatae Sinica,1999,15(2):126-131. 被引量：1
2Chunxiao YANG,Jin'ge YANG,Sining ZHENG.The Second Critical Exponent for a Fast Diffusion Equation with Potential[J].Journal of Mathematical Research with Applications,2012,32(6):715-722.
3WANG LU-SHENG WANG ZE-JIA.Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources[J].Communications in Mathematical Research,2011,27(2):97-104.
4Cao Zhenchao(Dept. of Math.,Xiamen Univ. Xiamen 361005).BLOW-UP AT THE BOUNDARY FOR DEGENERATE DIFFUSION EQUATION[J].数学研究,1994,27(1):45-50.
5石佩虎,王明新.Self-similar singular solution of fast diffusion equation with gradient absorption terms[J].Applied Mathematics and Mechanics(English Edition),2007,28(1):111-118.

Acta Mathematica Scientia

1999年第S1期

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THE CAUCHY PROBLEM FOR A NONLINEAR FAST DIFFUSION EQUATION

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