Print Email Facebook Twitter Blow-up Dynamics and Orbital Stability for Inhomogeneous Dispersive Equations Title Blow-up Dynamics and Orbital Stability for Inhomogeneous Dispersive Equations Author Csobo, E. (TU Delft Analysis) Contributor van Neerven, J.M.A.M. (promotor) le Coz, S. (promotor) Degree granting institution Delft University of Technology Date 2019-11-29 Abstract This dissertation addresses the local-well posedness, singularity formation, and orbital stability of standing waves to inhomogeneous nonlinear dispersive equations. Inhomogeneous equations are equations with space-dependent coe cients, which account for the impurities of the propagating media or the presence of an outer potential. Despite playing a crucial role in various domains in physics, the mathematical investigation of inhomogeneous dispersive equations has only started recently, and it is still in its early stages. In this dissertation, we investigate various properties of Schrödinger and Klein-Gordon equations. Subject Schrodinger equationKlein-Gordon equationnonlinear partial dierential equationorbital stabilitysingularity formationHamiltonian systemsground statesstanding waves equation To reference this document use: https://doi.org/10.4233/uuid:bd0b3a57-2f03-4bac-bf5e-1d5fac03df88 Part of collection Institutional Repository Document type doctoral thesis Rights © 2019 E. Csobo Files PDF propositions_ElekCsobo.pdf 151.08 KB PDF dissertation_ElekCsobo.pdf 1001.03 KB Close viewer /islandora/object/uuid:bd0b3a57-2f03-4bac-bf5e-1d5fac03df88/datastream/OBJ1/view