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Nonlinear evolution problems with singular coefficients in the lower order terms. (English) Zbl 1471.35182

Summary: We consider a Cauchy-Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite-time horizon.

MSC:

35K59 Quasilinear parabolic equations
35K20 Initial-boundary value problems for second-order parabolic equations

References:

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