Large time behavior of solutions to a class of doubly nonlinear parabolic equations.
On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations.
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models
-estimates for nonlinear parabolic equations with natural growth conditions
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations
We prove that any elliptic operator of second order in variational form is the infinitesimal generator of an analytic semigroup in the functional space consinsting of all derivatives of hölder-continuous functions in where is a domain in not necessarily bounded. We characterize, moreover the domain of the operator and the interpolation spaces between this and the space . We prove also that the spaces can be considered as extrapolation spaces relative to suitable non-variational operators....
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations
We prove that any elliptic operator of second order in variational form is the infinitesimal generator of an analytic semigroup in the functional space consinsting of all derivatives of hölder-continuous functions in where is a domain in not necessarily bounded. We characterize, moreover the domain of the operator and the interpolation spaces between this and the space . We prove also that the spaces can be considered as extrapolation spaces relative to suitable non-variational operators....
Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations.
Continuity for bounded solutions of multiphase Stefan problem
We establish the continuity of bounded local solutions of the equation . Here is any coercive maximal monotone graph in , bounded for bounded values of its argument. The multiphase Stefan problem and the Buckley-Leverett model of two immiscible fluids in a porous medium give rise to such singular equations.
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