On some doubly nonlinear evolution equations in Banach spaces (Q1199756)

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scientific article; zbMATH DE number 94850
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On some doubly nonlinear evolution equations in Banach spaces
scientific article; zbMATH DE number 94850

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    On some doubly nonlinear evolution equations in Banach spaces (English)
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    16 January 1993
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    For maximal monotone operators \(A\) and \(B\) on a Banach space the initial value problem for \(A(du/dt)+B(u)\ni f\) is studied. Under appropriate assumptions and using approximation techniques the author shows existence of solutions. Applications are made to boundary value problems for partial differential equations.
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    maximal monotone operators
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    Banach space
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    initial value problem
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    approximation techniques
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    existence of solutions
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    boundary value problems for partial differential equations
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