Add to ORKGWe obtain well-posedness for Dirac equations with a Hartree-type nonlinearity derived by decoupling the Dirac-Klein-Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.Comment: Typos correcte
AbstractThe Cauchy problem of the Landau equation with potential forces on torus is investigated. Th...
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar f...
We consider nonlinear Schr\"odinger equation with strong magnetic fields in 3-dimension. To analyze ...
We prove global wellposedness of the Klein-Gordon equation with power nonlinearity $|u|^{\alpha−1}u$...
In this study, we introduce a β-Dirac system. Some spectral properties of this system are studied i...
The Dirac equation is modified in order to allow for two mass parameters (called mR and mL). The mas...
We consider a family of dissipative active scalar equations outside the L2-space. This was introduce...
We consider a family of dissipative active scalar equations outside the L-2-space. This was introduc...
We show that the physical requirement of flux conservation can substitute for the usual matching con...
We derive an equation with respect to derivative dE/dm which could be useful for the analysis of the...
AbstractThis paper is concerned with solutions to the Dirac equation: −i∑αk∂ku+aβu+M(x)u=Ru(x,u). He...
AbstractTwo simple first order equations are derived, and studied from various points of view, descr...
AbstractWe study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|...
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro...
We prove the reducibility of 1-D quantum harmonic oscillators in $\mathbb R$ perturbed by a quasi-pe...
AbstractThe Cauchy problem of the Landau equation with potential forces on torus is investigated. Th...
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar f...
We consider nonlinear Schr\"odinger equation with strong magnetic fields in 3-dimension. To analyze ...
We prove global wellposedness of the Klein-Gordon equation with power nonlinearity $|u|^{\alpha−1}u$...
In this study, we introduce a β-Dirac system. Some spectral properties of this system are studied i...
The Dirac equation is modified in order to allow for two mass parameters (called mR and mL). The mas...
We consider a family of dissipative active scalar equations outside the L2-space. This was introduce...
We consider a family of dissipative active scalar equations outside the L-2-space. This was introduc...
We show that the physical requirement of flux conservation can substitute for the usual matching con...
We derive an equation with respect to derivative dE/dm which could be useful for the analysis of the...
AbstractThis paper is concerned with solutions to the Dirac equation: −i∑αk∂ku+aβu+M(x)u=Ru(x,u). He...
AbstractTwo simple first order equations are derived, and studied from various points of view, descr...
AbstractWe study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|...
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro...
We prove the reducibility of 1-D quantum harmonic oscillators in $\mathbb R$ perturbed by a quasi-pe...
AbstractThe Cauchy problem of the Landau equation with potential forces on torus is investigated. Th...
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar f...
We consider nonlinear Schr\"odinger equation with strong magnetic fields in 3-dimension. To analyze ...