3 papers
math.AP2026
Complex-valued modified Zakharov Kuznetsov equation
Carlos E. Kenig, NataÅ¡a PavloviÄ, Gigliola Staffilani +1
Motivated by the introduction of the Zakharov-Kuznetsov equation as a higher dimensional generalization of the Korteweg-de Vries equation, in this paper we introduce the modified Z…
math.AP2025
Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
Guher Camliyurt, Carlos E. Kenig
We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev spac…
math.AP2025
Well-posedness and invariant measures for complex valued modified KdV equation
Carlos E. Kenig, Andrea R. Nahmod, NataÅ¡a PavloviÄ +2
We consider the one dimensional periodic complex valued mKdV, which corresponds to the first equation above cubic NLS in the associated integrable hierarchy. Our main result is the…