Results 101 to 110 of about 18,832,328 (177)

Diophantine conditions in global well-posedness for coupled KdV-type systems

Electronic Journal of Differential Equations, 2009
We consider the global well-posedness problem of a one-parameter family of coupled KdV-type systems both in the periodic and non-periodic setting. When the coupling parameter $alpha = 1$, we prove the global well-posedness in $H^s(mathbb{R}) $ for $s >
Tadahiro Oh
doaj  

Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system

Electronic Journal of Differential Equations, 2006
Local well-posedness for Dirac-Klein-Gordon equations is proven in one space dimension, where the Dirac part belongs to $H^{-frac{1}{4}+epsilon}$ and the Klein-Gordon part to $H^{frac{1}{4}-epsilon}$ for 0 less than epsilon less than 1/4, and global ...
Hartmut Pecher
doaj  

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Advances in Nonlinear Analysis
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino, Prinari Barbara, Zhang Zechuan   +2 more
doaj   +1 more source

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity ū2 in negative Sobolev spaces

, 2023
Liu R.
europepmc   +1 more source

Local and global solvability of fractional porous medium equations in critical Besov-Morrey spaces

Electronic Journal of Differential Equations
In this article we study fractional porous medium equations in Besov-Morrey spaces. Using the Littlewood-Paley theory and the smoothing effect of the heat semi-group, we obtain local well-posedness of this model.
Ahmed El Idrissi, Halima Srhiri, Brahim Boukari, Jalila El Ghordaf   +3 more
doaj  

Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge

Electronic Journal of Differential Equations, 2009
We prove local well-posedness for the 2+1-dimensional Chern-Simons-Higgs equations in the Lorentz gauge with initial data of low regularity. Our result improves earlier results by Huh [10, 11].
Nikolaos Bournaveas
doaj  

Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system

Electronic Journal of Differential Equations, 2007
We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field.
Achenef Tesfahun
doaj  

On the local well-posedness of a Benjamin-Ono-Boussinesq system

International Journal of Mathematics and Mathematical Sciences, 2005
Ruying Xue
doaj   +1 more source

An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions. [PDF]

Stoch Partial Differ Equ
Martini A, Mayorcas A.
europepmc   +1 more source

Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in d≧2 Dimensions. [PDF]

Arch Ration Mech Anal
Huang J, Tataru D.
europepmc   +1 more source