Cntinuity of Some Classes of Functions Related to Degenerate Parabolic Equations and Its A

Cntinuity of Some Classes of Functions Related to

Degenerate Parabolic Equations and Its

Applications

宋斌恒;袁聪

【期刊名称】《东北数学：英文版》 【年(卷),期】2002(018)004

【摘要】We study some classes of functions satisfying the assumptions similar to but weaker than those for the classical B2 function classes used in the research of quasi-linear parabolic equations as well as the ones used in the research of degenerate parabolic equations including porous medium equationsl.Comsequently,we prove that a function in such a class is continuous.As an application,we obtain the estimate for the continuous modulus of the solutions of a few degenerate parabolic equations in divergence form,including the anisotropic porous equations.

【总页数】14页(P.353-366)

【关键词】连续性;退化抛物方程;函数类;应用;嵌入理论;各向异注滤子;连续模;解;渗流方程

【作者】宋斌恒;袁聪 【

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SchoolofSoftware,TsinghuaUniversity,Beijing,100084;DepartmentofMathematicalScience,TsinghuaUniversity,Beijing,100084