Blow-up Dynamics and Orbital Stability for Inhomogeneous Dispersive Equations

Elek Csobo

Research output: ThesisDissertation (TU Delft)

61 Downloads (Pure)

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.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • van Neerven, J.M.A.M., Supervisor
  • le Coz, S., Supervisor, External person
Award date29 Nov 2019
DOIs
Publication statusPublished - 2019

Keywords

  • Schrodinger equation
  • Klein-Gordon equation
  • nonlinear partial dierential equation
  • orbital stability
  • singularity formation
  • Hamiltonian systems
  • ground states
  • standing waves equation

Fingerprint

Dive into the research topics of 'Blow-up Dynamics and Orbital Stability for Inhomogeneous Dispersive Equations'. Together they form a unique fingerprint.

Cite this