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A singular quasilinear parabolic problem in one space dimension - MaRDI portal

A singular quasilinear parabolic problem in one space dimension (Q1176500)

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scientific article; zbMATH DE number 12062
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A singular quasilinear parabolic problem in one space dimension
scientific article; zbMATH DE number 12062

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    A singular quasilinear parabolic problem in one space dimension (English)
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    25 June 1992
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    The authors study existence and uniqueness of the local (in time) solution of the singular parabolic problem \(u_ t=\phi(t,u,u_ x)u_{xx}\), \(0\leq x\leq 1,\;t\geq 0\), where \(\phi(t,x,p,q)\geq\phi_ 0(x)\) with \(\phi_ 0(x)\) in \(L^ 1\). The boundary conditions are considered as linearly dependent on time.
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    mixed initial boundary value problems
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    linear time dependent boundary conditions
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