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Global attractor for the \(m\)-semiflow generated by a quasilinear degenerate parabolic equation. (English) Zbl 1181.35138

Summary: Using theory of global attractors for multi-valued semiflows, we prove the existence of a global attractor for the \(m\)-semiflow generated by a parabolic equation involving the nonlinear degenerate operator in a bounded domain.

MSC:

35K65 Degenerate parabolic equations
35K59 Quasilinear parabolic equations
35K20 Initial-boundary value problems for second-order parabolic equations
35B41 Attractors
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