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BV SOLUTIONS OF DIRICHLET PROBLEM FOR A CLASS OF DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS 被引量:1

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摘要 The uniqueness and existence of BV solutions to Dirichlet problem of doubly degenerate parabolic equations of the following form au/at=div(A(|↓△B(u)|↓△B(u))in QT=Ω×(0,T) are
出处 《Journal of Partial Differential Equations》 2004年第3期241-254,共14页 偏微分方程(英文版)
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  • 1Oleinik O.A. and Radkevic E.V., Second order equations with nonnegative characteristic form, American Mathematical Society, Rhode Island and Plenum Press, New York, 1973.
  • 2Vol'pert A.I. and Hudjaev S.I., Cauchy problem of second order quasilinear degenerate parabolic equations, Math. CB., 78(120)(1969), 374-396.
  • 3Wu Zhuoqun and Zhao Junning, The first boundary value problem for quasilinear degenerate parabolic equations of second order in several space variables, Chinese Annals of Math., 4B Ser.B(1)(1983), 57-76.
  • 4Wu Zhuoqun, Zhao Junning, Yin Jingxue and Li Huilai, Nonlinear Diffusion Equations,World Scientific Publishing, Singapore,2001.
  • 5Yin Jingxue, Solutions with compact support for nonlinear diffusion equations, Nonlinear Analysis, T.M.A., 19(4)(1992), 309-321.
  • 6Vol'pert A.I., BV spaces and quasilinear equations, Math. CB., 73(115)(1967), 255-302.

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