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Cauchy-Dirichlet problem for quasilinear degenerate parabolic equations of higher order with initial data increasing at infinity. (English) Zbl 0912.35074

The existence, uniqueness and behavior at infinity of the solution of a mixed problem to a class of the \(m\)-th order degenerate parabolic equations in a suitable Sobolev space have been investigated.

MSC:

35K35 Initial-boundary value problems for higher-order parabolic equations
35K65 Degenerate parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
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