期刊文献+

一类强退化抛物方程弱解的惟一性 被引量:1

Uniqueness of Weak Solutions to a Class of Strongly Degenerate Parabolic Equations
原文传递
导出
摘要 研究了如下形式的强退化抛物方程(C)(u)/(t)=(2A(u,x,t))/(x2)+(B(u,x,t))/(x),基于Holm gren方法,证明了弱解的惟一性. We study the uniqueness of weak solutions for the strongly degenerate parabolic equation (C)(u)/(t)=(2A(u,x,t))/(x2)+(B(u,x,t))/(x), based on approximate Holmgren'approaeh.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第20期124-130,共7页 Mathematics in Practice and Theory
关键词 强退化抛物方程 Holmgren方法 惟一性 strongly degenerate parabolic equation Holmgren'approach uniqueness
  • 相关文献

参考文献5

  • 1Zhao J N.Uniqueness of solutions of the first boundary value problem for quasilinear degenerate parabolic equation[J].Northeastern Math J,1985,1(1):153-162.
  • 2Chen Y.Uniqueness of Weak Solutions of Quasilinear Degenerate Parabolic Equations[M].Proceedings of the Changchun Symposium on Differential Geometry and differential Equations,Science Press,Beijing.China.1982,317-332.
  • 3Zhao J N.Applications of the theory of compensated to Quasilinear Degenerate Equations and Quasilinear Degenerate Elliptic Equations[J].Northeastern Math J.1986,2(1):41-48.
  • 4Zhao J N.Stability of solutions for a Class of Quasilinear Degenerate Parabolic Equations[J].Northeastern Math J.1994,10(2):279-284.
  • 5Wu Z.Zhao J N.Yin J.Li H.Nonlinear Diffusiion Equations[M].Jilin Univ Press.Changchun.1996.

同被引文献10

  • 1Aronson D G. The porous medium equation. In Nonlinear Diffusion Problems (A. Fasano, M. Primicerio eds,),Lecture Notes in Math. (CIME Foundation Series)[M]. Berlin: Springer-Verlag, 1986,1224:1-46.
  • 2Gurtin M E,MacCamy R C. On the diffusion of biological population[J], Math Biosci,1977,33(1/2) -35-49.
  • 3Levine H,Payne L E. Nonexistence theorems for the heat equation with nonlinear boundary condition and for theporous medium equation backward in time[J]. Diff Eqns,1974,16:319-334.
  • 4周文华.退化抛物型方程若解的存在性[J],数学学报:中文版,2010,53(3):495-502.
  • 5Bertsch M,Rostamian R. The principle of linearized stability for a class of degenerate diffusion equations[J], DiffEqns, 1985,57:373-405.
  • 6Ladyzenskaja O A, Solonnikov V A, Uralceva N N. Linear and quasi-linear equations of parabolic type[M],Rhode Island: Amer Math Soc, 1968.
  • 7魏英杰,邬娟.一类拟线性退化抛物型方程组解的存在性与爆破[J].吉林大学学报(理学版),2010,48(3):406-408. 被引量:6
  • 8金永虎,朴东哲.一类退化抛物型方程解的比较原理[J].延边大学学报(自然科学版),2012,38(4):259-261. 被引量:1
  • 9刘振海.二阶退化拟线性抛物型方程解的存在性[J].数学学报(中文版),2001,44(1):77-84. 被引量:1
  • 10刘其林,邓卫兵,谢春红.一类退化抛物方程解的存在唯一性及爆破速率[J].数学学报(中文版),2003,46(4):775-784. 被引量:11

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部