Searched for: subject:"Sobolev"
(1 - 7 of 7)
document
Lindemulder, N. (author)
This thesis is concerned with the maximal regularity problem for parabolic boundary value problems with inhomogeneous boundary conditions in the setting of weighted function spaces and related function space theoretic problems.
This in particularly includes weighted $L_{q}$-$L_{p}$-maximal regularity but also weighted $L_{q}$-maximal...
doctoral thesis 2019
document
Portal, Pierre (author), Veraar, M.C. (author)
We unify and extend the semigroup and the PDE approaches to stochastic maximal regularity of time-dependent semilinear parabolic problems with noise given by a cylindrical Brownian motion. We treat random coefficients that are only progressively measurable in the time variable. For 2m-th order systems with VMO regularity in space, we obtain...
journal article 2019
document
Khan, Arbaz (author), Upadhyay, Chandra Shekhar (author), Gerritsma, M.I. (author)
In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data. The differentiability estimates and the main stability estimate theorem, using non-conforming spectral element...
journal article 2018
document
Bernicot, Frédéric (author), Frey, D. (author)
We consider abstract Sobolev spaces of Bessel-type associated with an operator. In this work, we pursue the study of algebra properties of such functional spaces through the corresponding semigroup. As a follow-up to our previous work, we show that by making use of the property of a 'carré du champ' identity, this algebra property holds in a...
journal article 2018
document
Amenta, Alex (author)
Given a metric measure space X, we consider a scale of function spaces (Formula presented.), called the weighted tent space scale. This is an extension of the tent space scale of Coifman, Meyer, and Stein. Under various geometric assumptions on X we identify some associated interpolation spaces, in particular certain real interpolation spaces...
journal article 2018
document
Lindemulder, N. (author), Meyries, Martin (author), Veraar, M.C. (author)
We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a power weight. The proof is based on recent results on pointwise multipliers in Bessel...
journal article 2018
document
Gerasimov, T. (author)
doctoral thesis 2009
Searched for: subject:"Sobolev"
(1 - 7 of 7)