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Now showing items 1-13 of 13

    • Weakly Regular Hyperbolic Boundary Value Problems of Real Type 

      Correa, Santiago (2023-09-11)
      In this thesis, we derive energy estimates for weakly regular hyperbolic boundary value problems of real type, for which the Lopatinskii condition degenerates in a specific way in the so-called hyperbolic region. Such ...
    • Propagation of polarization sets for systems of generalized transverse type and for systems of MHD type 

      Darwich, Rayhana (2023-06-16)
      Polarization sets were introduced by Dencker (1982) as a refinement of wavefront sets to the vector-valued case. He also clarified the propagation of polarization sets when the characteristic variety of the pseudodifferential ...
    • Surface waves as Fourier integral operators with complex phase 

      Mattar Marriaga, Gisel (2023-06-16)
      This thesis studies linear hyperbolic boundary value problems that admit surface waves as solutions. Surface waves are related to a specific type of weakly regular hyperbolic boundary value problems, where the precise ...
    • Harmonic analysis on 2-step stratified Lie groups without the Moore-Wolf condition 

      Yang, Zhipeng (2022-04-07)
      In this thesis we investigate harmonic analysis on a particular class of sub-Riemannian manifold, namely the 2-step stratified Lie groups $\mathbb{G}$, as well as its applications in partial differential equations. This ...
    • Paradifferential Operators and Conormal Distributions 

      Spratte, Robin (2020-02-24)
      In this thesis we develop a generalization of Hörmander’s symbol calculus of conor- mal distributions [Hö07, Chapter 18.2] and provide techniques for applications to nonlinear hyperbolic Partial Differential Equations. ...
    • On the Cauchy problem for a class of degenerate hyperbolic equations 

      Krüger, Matthias (2018-08-31)
      In this thesis, a pseudodifferential calculus for a degenerate hyperbolic Cauchy problem is developed. The model for this problem originates from a certain observation in fluid mechanics, and is then extended to a more ...
    • Radiation conditions for periodic potentials 

      Nguyen, Thai Ngoc (2017-09-19)
      The aim of the present thesis is to determine radiation conditions for higher-dimensional Schroedinger equations with periodic potentials. There is well-known result for Helmholtz equations. However to my knowledge, there ...
    • Scattering Resonances for Polyhedral Obstacles 

      Lippl, Martin (2017-08-29)
      This thesis deals with the generalization of two dimensional obstacle scattering theory to polygonally bounded obstacles. Our main objective is to derive an upper bound for the counting function of the scattering poles. The ...
    • Critical exponents for semilinear Tricomi-type equations 

      He, Daoyin (2016-11-24)
      In this thesis, we consider the semilinear Tricomi-type equations. In particular, we work on the global Cauchy problem for the semilinear Tricomi-type equation with suitable initial data. The main objective of this thesis ...
    • Non-classical problems for viscoelastic solids with microstructure 

      Svanadze, Maia (2015-10-07)
      In the present thesis the linear theories of viscoelasticity and thermoviscoelasticity for isotropic and homogeneous Kelvin-Voigt materials with voids are considered and some basic results of the classical theories of ...
    • Analytic singularities near radial points 

      Zheng, Jiguang (2015-03-11)
      In this thesis, we applied tools of algebraic analysis and knowledge of symplectic geometry and contact geometry to give a normal form of certain class of microdifferential operators, and then studied analytic singularities of ...
    • Existence of solutions of quasilinear elliptic equations on manifolds with conic points 

      Nguyen, Thi Thu Huong (2014-05-15)
      Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of ...
    • Composition theorems for paired Lagrangian distributions 

      Nguyen, Nhu Thang (2012-04-12)
      The aim of this research is to determine whether the composition of paired Lagrangian distributions belongs to well-known classes such as marked Lagrangian, isotropic Lagrangian, paired Lagrangian or generalized ...