For a linear, strictly elliptic second order differential operator in divergence form with
bounded, measurable coefficients on a Lipschitz domain Ω we show that solutions of the …

This paper deals with the heat equation posed in a bounded regular domain Ω of RN (N⩾ 2)
coupled with a dynamical boundary condition of reactive–diffusive type. In particular we …

Let Ω be a smooth bounded domain in RN and let L0 with domain D (L0)⊂ C∞ 0 (Ω) be a
formally symmetric differential operator on L2 (Ω). Assume L0 has smooth coefficients. A …

We consider scalar conservation laws where the flux function depends discontinuously on
both the spatial and temporal locations. Our main results are the existence and well …

This paper is concerning with the study of Hadamard well-posedness for a wave equation
with nonlinear internal dam** and acoustic boundary conditions for non-locally reacting …

It is shown that for a wide class of quasi-linear elliptic equations in divergence form,
including the p-Laplace equation, on Lipschitz domains the solution is Hölder continuous up …

This work offers a new prospective on asymptotic perturbation theory for varying self‐adjoint
extensions of symmetric operators. Employing symplectic formulation of self‐adjointness, we …

We show maximal regularity results concerning parabolic systems with dynamic boundary
conditions and a diffusion theorem on the boundary in the framework of L^ p L p spaces, 1< …

Of concern is the nonlinear uniformly parabolic problem for x∈ Ω⊂ RN and t⩾ 0; the last
equation holds on the boundary∂ Ω. Here [Formula: see text] is a real, hermitian, uniformly …

For an operator whose domain is the kernel of a functional that is a finite sum of simpler
functionals, we show that the resolvent of the operator can be decomposed as an affine …