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以Dirac测度为源的拟线性退化抛物方程解的唯一性

The Uniqueness of Solution to a Quasilinear Degenerate Parabolic Equation with Dirac Measure
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摘要 研究了以Dirac测度为源的拟线性退化抛物方程ut-Δum=δ(x),(x,t)∈Q的Cauchy问题解的唯一性,其中δ(x)是Dirac测度,m>1,Q=RN×(0,+∞). The uniqueness of solution to the quasilinear degenerate parabolic equation ut-Δum=δ(x) ,(x,t) ∈Q was proved.where δ(x) was the Dirac measure centered at the origin,m1,Q=RN×(0,+∞) .
作者 李龙 詹华税
机构地区 集美大学理学院
出处 《集美大学学报(自然科学版)》 CAS 2010年第3期234-236,共3页 Journal of Jimei University:Natural Science
基金 福建省自然科学基金资助项目(T0650010) 集美大学科研基金资助项目(C60416)
关键词 拟线性退化抛物方程 Dirac测度 CAUCHY问题 唯一性 quasilinear degenerate parabolic equation Dirac measure Cauchy problem uniqueness
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  • 1YuanHongjun,JinYang.EXISTENCE AND UNIQUENESS OF BV SOLUTIONS FOR THE POROUS MEDIUM EQUATION WITH DIRAC MEASURE AS SOURCES[J].Journal of Partial Differential Equations,2005,18(1):35-58. 被引量:2
  • 2Stampacchia G. Le probleme de Dirichlet pour les equations elliptiques du second ordre a coefficients discontinus. Ann. Inst. Fourier (Grenoble), 1965, 15(1): 189-258.
  • 3Benilan P, Brezis H, Crandall M. A semilinear equation in L^1. Ann. Scuola Norm. Sup.Pisa, 1975, 2: 523-555.
  • 4Boccardo L, Gallouet T. Nonlinear elliptic and parabolic equations involving measure data,J. Func. Anal., 1989, 87: 149-169.
  • 5Boccardo L, Gallouet T. Nonlinear elliptic equations with right hand side measures. Comm.Partial Differential Equations, 1992, 17(3/4): 641-655.
  • 6Del Vecchio T. Nonlinear elliptic equations with measure data, Potential Anal., 1995, 4:185-203.
  • 7Boccardo L. Some nonlinear Dirichlet problems in L^1 involving lower order terms in divergence form. in "Progress in Elliptic and Parabolic Partial Diferential Equations (Capri,1994)", Pitman Rescarch Notes in Mathematics, Harlow, Longman, 1996, 43-57.
  • 8Dall'Aglio A, Orsina L. Existence results for some nonlinear parabolic equations with nonregular data. Diferential Integral Equations, 1992, 5(6): 1335-1354.
  • 9Boccardo L, Dall'Aglio A. Gallouet T. and Orsina L., Quasilinear parabolic equations with measure data. in "Proceedings of the Intenational Conference on Nonlinear Diferential Equations, Kiev. 1995." to apper.
  • 10Blanchard D, Murat F. Renormalized solutions of nonlinear parabolic problems with L^1 data: Existence and uniqueness. Proc. Roy. Soc. Edinburgh, to appear.

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