In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface diusion, including mixed boundary conditions. The setting naturally includes non-smooth domains Ω. We show local well-posedness using maximal Ls-regularity in dual Sobolev spaces of type W-1,q(Ω) for the associated abstract Cauchy problem
We consider a two-phase problem for two incompressible, viscous and immiscible fluids which are sepa...
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surfa...
We show that fully quasilinear parabolic systems are locally well posed in the Hilbert space scala i...
In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and i...
We consider a general class of nonlinear parabolic systems corresponding to thermodynamically consis...
In this paper we consider scalar parabolic equations in a general non-smooth setting with emphasis o...
We consider a general class of nonlinear parabolic systems corresponding to thermodynamically consis...
In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichle...
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported ...
Abstract. In this paper we consider scalar parabolic equations in a general non-smooth setting with ...
This text is devoted to maximal regularity results for second order parabolic systems on LIPSCHITZ d...
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surfa...
Using a classical theorem of Sobolevskii on equations of parabolic type in a Banach space and recent...
We prove existence, uniqueness, and regularit y for a reaction-diffusion system of coupled bulk-surf...
We analyse a diffuse interface type approximation, known as the diffuse domain approach, of a linear...
We consider a two-phase problem for two incompressible, viscous and immiscible fluids which are sepa...
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surfa...
We show that fully quasilinear parabolic systems are locally well posed in the Hilbert space scala i...
In this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and i...
We consider a general class of nonlinear parabolic systems corresponding to thermodynamically consis...
In this paper we consider scalar parabolic equations in a general non-smooth setting with emphasis o...
We consider a general class of nonlinear parabolic systems corresponding to thermodynamically consis...
In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichle...
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported ...
Abstract. In this paper we consider scalar parabolic equations in a general non-smooth setting with ...
This text is devoted to maximal regularity results for second order parabolic systems on LIPSCHITZ d...
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surfa...
Using a classical theorem of Sobolevskii on equations of parabolic type in a Banach space and recent...
We prove existence, uniqueness, and regularit y for a reaction-diffusion system of coupled bulk-surf...
We analyse a diffuse interface type approximation, known as the diffuse domain approach, of a linear...
We consider a two-phase problem for two incompressible, viscous and immiscible fluids which are sepa...
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surfa...
We show that fully quasilinear parabolic systems are locally well posed in the Hilbert space scala i...
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