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Nonautonomous semilinear parabolic equations on an infinite interval - MaRDI portal

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Nonautonomous semilinear parabolic equations on an infinite interval (Q851468)

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scientific article; zbMATH DE number 5074442
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English
Nonautonomous semilinear parabolic equations on an infinite interval
scientific article; zbMATH DE number 5074442

    Statements

    Nonautonomous semilinear parabolic equations on an infinite interval (English)
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    21 November 2006
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    The paper deals with a class of semilinear parabolic differential equations on an infinite time interval and satisfying general initial conditions and homogeneous Dirichlet boundary condition. The author is able to show that solutions exist for all times and that they are \(L^p\) in time and space. The main tool is the degree theory for Fredholm operators.
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    homogeneous Dirichlet boundary condition
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    degree theory
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    Fredholm operators
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