| Continuity of Some Classes of Functions Related to Degenerate Parabolic Equations and Its Applications |
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| 作者姓名： | 宋斌恒 袁聪 |
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| 作者单位： | SONG Binheng(School of Software，Tsinghua University，Beijing，100084)YUAN Cong (Department of Mathematical Science，Tsinghua University，Beijing，100084) |
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| 基金项目： | This work was partially supported by the University of Nancy I，by National 973-Project from MOST as well as well Trans-Century Training Programme Foundation for the Talents by Ministry of Education |
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| 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 equations. Consequently, 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.
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Continuity of Some Classes of FunctionsRelated to Degenerate ParabolicEquations and Its Applications |
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| SONG Binheng.Continuity of Some Classes of Functions Related to Degenerate Parabolic Equations and Its Applications[J].Northeastern Mathematical Journal,2002(4). |
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| Authors: | SONG Binheng |
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| Abstract: | 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 equations. Consequently, 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. |
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| Keywords: | Embedding theory degenerate parabolic equation continuity anisotropic filtration |
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