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WANG Yi fu. Lloc∞ -Estimates for Local Solutions of Nonlinear Parabolic Equations[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2001, 10(1): 7-11.
Citation: WANG Yi fu. Lloc∞-Estimates for Local Solutions of Nonlinear Parabolic Equations[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2001, 10(1): 7-11.
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Lloc∞-Estimates for Local Solutions of Nonlinear Parabolic Equations

  • Dept. of Applied Mathematics, Beijing Institute of Technology, Beijing100081, China

Funds:ationalNaturalScienceFoundation(19971004)
  • Received Date:2000-01-10
    Abstract
  • To obtain L ∞ loc estimates for the local solution of nonlinear parabolic equations, local energy estimates and Moser iteration are used. Under some structural conditions, a local sup estimates of the local solution is established in terms of some integral normal of the solution in a larger domain, which is independent of initial and boundary data.
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    • References (4)
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    Liang Xiting,Wu Zaide.T he a prior i estimates o f the max imum modulus:to solutions of doublynonlinear parabolic equations[J] .Comment M at h U niv Carolinae,1997,38(1):109-119.
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    Porzio M M,Vespri V.H3o lder estimates for local solution of some doubly nonlinear degenerateparabolic equat ions[J] .J Diff Eqns,1993,103:146-178.
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