On the asymptotic behavior of solutions of certain quasilinear parabolic equations (Q1058668)

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scientific article; zbMATH DE number 3901282
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On the asymptotic behavior of solutions of certain quasilinear parabolic equations
scientific article; zbMATH DE number 3901282

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    On the asymptotic behavior of solutions of certain quasilinear parabolic equations (English)
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    1984
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    The large time behavior of non negative weak solutions of nonlinear parabolic problems is investigated by the authors. Conditions are given under which global \(L^ 1\) solutions are unbounded or uniformly bounded away from the origin. Next their stabilization towards \(+\infty\), 0 or unstable equilibrium is analyzed.
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    reaction-diffusion
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    large time behavior
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    negative weak solutions
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    nonlinear parabolic problems
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    stabilization
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    unstable equilibrium
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