Critical exponents of Fujita type for inhomogeneous parabolic equations and systems (Q1593765)

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scientific article; zbMATH DE number 1556936
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Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
scientific article; zbMATH DE number 1556936

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    Critical exponents of Fujita type for inhomogeneous parabolic equations and systems (English)
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    10 September 2001
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    Critical exponents for global existence of sign-changing solutions of parabolic equations and systems are found. The problems under consideration include inhomogeneous equations in \(\mathbb R^n\), equations in exterior domains with inhomogeneous Dirichlet or Neumann boundary conditions and inhomogeneous systems in \(\mathbb R^n\).
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    semilinear parabolic equation
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    sign-changing solutions
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    blow-up
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    global existence
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