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Description
  • Hölderovská spojitost slabých řešení lineárních systémů s ne- hladkými koeficienty na uzávěru oblasti je dokázána za předpo- kladů na rozptyl vlastních čísel matice koeficientů. Získané výsledky lze aplikovat na quasilineární a nelineární eliptické systémy. Dále je dokázána xistemce a jednoznačnost velmi sla- bých řešení takových systémů s praou stranou v prostoru L_1. (cs)
  • We prove Hölder continuity up to the boundaryof a convex nonsmooth domain of weak solutions to a class of linear second order elliptic systems with discontinuous coefficients under a suitable condition on the dispersion of eigenvalues of the coefficients matrix. The above results are applied to quasilinear and nonlinear systems. Moreover, the existence and uniqueness of very weak solutions with L_1 right hand sides is proved.
  • We prove Hölder continuity up to the boundaryof a convex nonsmooth domain of weak solutions to a class of linear second order elliptic systems with discontinuous coefficients under a suitable condition on the dispersion of eigenvalues of the coefficients matrix. The above results are applied to quasilinear and nonlinear systems. Moreover, the existence and uniqueness of very weak solutions with L_1 right hand sides is proved. (en)
Title
  • Hölder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains
  • Hölderovská spojitost řešení tříd eliptických systémů na konvexních nehladkých oblastech (cs)
  • Hölder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains (en)
skos:prefLabel
  • Hölder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains
  • Hölderovská spojitost řešení tříd eliptických systémů na konvexních nehladkých oblastech (cs)
  • Hölder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains (en)
skos:notation
  • RIV/00216208:11320/05:00000884!RIV06-MSM-11320___
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  • P(GA201/03/0934), Z(MSM 113200007)
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  • 5
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  • 523695
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  • RIV/00216208:11320/05:00000884
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  • Hölder; regularity; solutions; classes; elliptic; systems; convex; nonsmooth; domains (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [916DA8E1E8CC]
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  • Nonlinear analysis - Theory Methods and Applications
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  • 60
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  • Stará, Jana
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  • 0362-546X
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  • 11320
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