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  • The aim of this article is to discuss strong solutions of doubly nonlinear parabolic equations ?Bu/?t+Au=f, where A:X?X^? and B:Y?Y^? are operators satisfying standard assumptions on boundedness, coercivity and monotonicity. Six different situations are identified which allow to prove the existence of a solution u?L^oo(0,T;X?Y) to an initial value u_0?X?Y, but only in some of these situations the equation is valid in a stronger space than (X?Y)^?.
  • The aim of this article is to discuss strong solutions of doubly nonlinear parabolic equations ?Bu/?t+Au=f, where A:X?X^? and B:Y?Y^? are operators satisfying standard assumptions on boundedness, coercivity and monotonicity. Six different situations are identified which allow to prove the existence of a solution u?L^oo(0,T;X?Y) to an initial value u_0?X?Y, but only in some of these situations the equation is valid in a stronger space than (X?Y)^?. (en)
Title
  • Strong Solutions of Doubly Nonlinear Parabolic Equations
  • Strong Solutions of Doubly Nonlinear Parabolic Equations (en)
skos:prefLabel
  • Strong Solutions of Doubly Nonlinear Parabolic Equations
  • Strong Solutions of Doubly Nonlinear Parabolic Equations (en)
skos:notation
  • RIV/49777513:23520/12:43914913!RIV13-MSM-23520___
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  • P(ME10093)
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  • 2
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  • 171760
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  • RIV/49777513:23520/12:43914913
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  • Doubly nonlinear evolution equations, elliptic-parabolic problems, strong solutions, regularity (en)
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  • CH - Švýcarská konfederace
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  • [77138D23AF79]
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  • Zeitschrift für Analysis und ihre Anwendungen
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  • 31
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  • Matas, Aleš
  • Merker, Jochen
http://linked.open...ain/vavai/riv/wos
  • 000305929900006
issn
  • 0232-2064
number of pages
http://bibframe.org/vocab/doi
  • 10.4171/ZAA/1456
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  • 23520
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