There is given a sharp existence, uniqueness, and continuity theorem for quasilinear parabolic evolution equations, based on the concept of maximal Sobolev regularity. Its power is illustrated by applications to some model problems which are nonlocal in space and/or time
We consider linear parabolic equations of second order in a Sobolev space setting. We obtain existen...
AbstractIn this paper we investigate vector-valued parabolic initial boundary value problems of rela...
summary:Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, a...
Abstract. We use maximal Lp regularity to study quasilinear parabolic evolution equations. In contra...
We prove local existence, uniqueness, Hölder regularity in space and time, and smooth dependence in ...
The purpose of this work is to investigate the uniqueness and existence of local solutions for the b...
Based on our recent work on quasilinear parabolic evolution equations and maximal regularity we prov...
This is a survey of the most common approaches to quasi-linear parabolic evolution equations, a disc...
AbstractWe establish maximal regularity of type Lp for a parabolic evolution equation u′(t)=A(t)u(t)...
A general theory on local existence, uniqueness, regularity, and smooth dependence in H"older spaces...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
We derive sufficient conditions, perturbation theorems in particular, for nonau-tonomous evolution e...
AbstractWe present a shorter proof to show Hölder continuity of bounded solutions to a general class...
AbstractThe linear non-autonomous evolution equation u′(t) − A(t) u(t) = ƒ(t), t ∈ [0, T], with the ...
This text is devoted to maximal regularity results for second-order parabolic systems on Lipschitz d...
We consider linear parabolic equations of second order in a Sobolev space setting. We obtain existen...
AbstractIn this paper we investigate vector-valued parabolic initial boundary value problems of rela...
summary:Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, a...
Abstract. We use maximal Lp regularity to study quasilinear parabolic evolution equations. In contra...
We prove local existence, uniqueness, Hölder regularity in space and time, and smooth dependence in ...
The purpose of this work is to investigate the uniqueness and existence of local solutions for the b...
Based on our recent work on quasilinear parabolic evolution equations and maximal regularity we prov...
This is a survey of the most common approaches to quasi-linear parabolic evolution equations, a disc...
AbstractWe establish maximal regularity of type Lp for a parabolic evolution equation u′(t)=A(t)u(t)...
A general theory on local existence, uniqueness, regularity, and smooth dependence in H"older spaces...
The main part of this paper is devoted to establishing existence and uniqueness results for a class ...
We derive sufficient conditions, perturbation theorems in particular, for nonau-tonomous evolution e...
AbstractWe present a shorter proof to show Hölder continuity of bounded solutions to a general class...
AbstractThe linear non-autonomous evolution equation u′(t) − A(t) u(t) = ƒ(t), t ∈ [0, T], with the ...
This text is devoted to maximal regularity results for second-order parabolic systems on Lipschitz d...
We consider linear parabolic equations of second order in a Sobolev space setting. We obtain existen...
AbstractIn this paper we investigate vector-valued parabolic initial boundary value problems of rela...
summary:Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, a...
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