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Static and evolution equations with degenerate curls

Journal of Differential Equations
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Maximal time regularity for degenerate evolution integro-differential equations

Journal of Evolution Equations, 2010
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A. Favaron, FAVINI, ANGELO
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Stabilization of solutions of nonlinear and degenerate evolution equations

Nonlinear Analysis: Theory, Methods & Applications, 1985
The present paper deals with the quasilinear parabolic problem \[ u_ t=\Delta \eta (u)+f(x,u)\quad in\quad \Omega \times R^+,\quad u(x,0)=u_ 0(x)\quad in\quad \Omega,\quad u=u_ 1\quad in\quad \partial \Omega \times R^+, \] where \(\eta\) is a continuous, strictly increasing function with \(\eta (0)=0\); degenerate diffusion at \(u=0\) (namely \(\eta ...
Langlais, Michel, Phillips, Daniel
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Degenerate evolution equations and regularity of their associated semigroups

1996
The authors study the abstract Cauchy problem associated to the operator \(Au=\nabla(\alpha\nabla u)\) with Wentzell boundary conditions in an open bounded set \(\Omega\subset\mathbb{R}^n\) with smooth boundary. The function \(\alpha\) is continuous, \(\alpha>0\) in \(\Omega\) and \(\alpha|_{\partial\Omega}=0\).
BARBU V, FAVINI A, ROMANELLI, Silvia
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