Results 21 to 30 of about 18,741 (91)

Continuous dependence for NLS in fractional order spaces [PDF]

, 2010
We consider the Cauchy problem for the nonlinear Schr\"odinger equation $iu_t+ \Delta u+ \lambda |u|^\alpha u=0$ in $\R^N $, in the $H^s$-subcritical and critical cases ...
Cazenave, Thierry, Fang, Daoyuan, Han, Zheng   +2 more
core   +2 more sources

Global Strong Solutions for a Class of Heterogeneous Catalysis Models

, 2016
We consider a mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface.
Adams, Amann, Appell, Aris, Bothe, Bothe, Bothe, Bothe, Denk, Denk, Dieter Bothe, Hornung, Jürgen Saal, Keil, Knabner, Kunstmann, Ladyzhenskaja, Levenspiel, Liu, Marpeau, Marschall, Matthias Köhne, Nau, Nau, Nau, Nau, Pierre, Prüß, Renken, Sickel, Siegfried Maier, Weis, White   +32 more
core   +1 more source

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]

, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
Dindos, Martin, Mitrea, Marius
core   +2 more sources

Existence of global strong solutions in critical spaces for barotropic viscous fluids [PDF]

, 2010
This paper is dedicated to the study of viscous compressible barotropic fluids in dimension $N\geq2$. We address the question of the global existence of strong solutions for initial data close from a constant state having critical Besov regularity.
A. Matsumura, A. Matsumura, A.V. Kazhikov, A.V. Kazhikov, B. Haspot, Boris Haspot, D. Bresch, D. Bresch, D. Hoff, D. Hoff, D. Hoff, D. Hoff, D. Hoff, D. Hoff, D. Hoff, D. Hoff, D. Serre, F. Charve, H. Abidi, H. Bahouri, J. Nash, J.-M. Bony, J.-Y. Chemin, J.-Y. Chemin, Q. Chen, R. Danchin, R. Danchin, R. Danchin, R. Danchin, R. Danchin, V. Valli, V.A. Solonnikov, V.A. Solonnikov   +32 more
core   +5 more sources

Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Riesz

, 2010
We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are
W. Aziz, J. A. Guerrero, N. Merentes
semanticscholar   +1 more source

Multiplication and Composition in Weighted Modulation Spaces

, 2016
We study the existence of the product of two weighted modulation spaces. For this purpose we discuss two different strategies. The more simple one allows transparent proofs in various situations.
B Wang, B Wang, B Wang, D Jornet, DG Bhimani, E Cordero, G Bourdaud, G Bourdaud, H Helson, H Triebel, H-J Schmeisser, J Franke, J Johnsen, J Peetre, J Toft, J Toft, K Gröchenig, M Sugimoto, PI Lizorkin, RS Strichartz, SM Nikol’skij, T Iwabuchi, VG Maz’ya   +22 more
core   +1 more source

UNIFORMLY BOUNDED SUPERPOSITION OPERATORS IN THE SPACE OF SECOND BOUNDED VARIATION FUNCTIONS IN THE SENSE OF SHIBA [PDF]

, 2016
In this paper we introduce the notion of "function of second bounded variation" in the sense of Shiba, and we show that if a superposition operator applies the space of all such functions on itself and it is uniformly bounded, then its generating ...
Gim\ue9nez, Jos\ue9
core  

Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds

, 2011
In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p)$ with an operator $L$ generating a heat semigroup satisfying ...
Badr, Nadine, Bernicot, Frederic, Russ, Emmanuel   +2 more
core   +2 more sources

On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces

, 2014
We are concerned with the Cauchy problem of the full compressible Navier-Stokes equations satisfied by viscous and heat conducting fluids in $\mathbb{R}^n.$ We focus on the so-called critical Besov regularity framework.
Chikami, Noboru, Danchin, Raphaël
core   +3 more sources

Existence of global strong solution for the compressible Navier-Stokes system and the Korteweg system in two-dimension

, 2012
This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N=2. We address the question of the global existence of strong solutions with large initial data for compressible Navier-Stokes system and Korteweg system. In the
Haspot, Boris
core   +1 more source