This paper presents two observability inequalities for the heat equation over×(0, T). In the
first one, the observation is from a subset of positive measure in×(0, T), while in the second …

STABILITY RESULTS ON INTERPOLATION SCALES OF QUASI-BANACH SPACES AND
APPLICATIONS 1. Introduction In this paper we initiate the Page 1 TRANSACTIONS OF THE …

We study boundary value problems for the time-harmonic form of the Maxwell equations, as
well as for other related systems of equations, on arbitrary Lipschitz domains in the three …

We consider boundary value problems for the heat equation in time-varying graph domains
of the form Ω={(x_0,x,t)∈R*R^n-1*R:x_0>A(x,t)\}, obtaining solvability of the Dirichlet and …

We consider the Laplacian with Dirichlet or Neumann boundary conditions on bounded
Lipschitz domains Ω, both with the following two domains of definition: D_1 (Δ)={u ∈ W^ 1, p …

We prove the first positive results concerning boundary value problems in the upper half-
space for second order parabolic systems only assuming measurability and some …

The Lp Neumann problem for the heat equation in non-cylindrical domains Page 1 Journal of
Functional Analysis 220 (2005) 1–54 www.elsevier.com/locate/jfa The Lp Neumann problem for …

We present an iterative technique to construct stable solutions for an angiogenesis model
set in an annular region. Branching, anastomosis and extension of blood vessel tips is …

We consider parabolic operators of the form∂ t+ L, L=− div A (X, t)∇, in R+ n+ 2:={(X, t)=(x, x
n+ 1, t)∈ R n× R× R: x n+ 1> 0}, n≥ 1. We assume that A is a (n+ 1)×(n+ 1)-dimensional …

We consider the heat equation in a domain that has a hole in its interior. We impose a
Neumann condition on the exterior boundary and a nonlinear Robin condition on the …