Sökning: "Dirichlet problem"
Visar resultat 16 - 20 av 46 avhandlingar innehållade orden Dirichlet problem.
16. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation
Sammanfattning : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. LÄS MER
17. Parabolic problems on noncylindrical domains : the method of Rothe
Sammanfattning : This Licentiate Thesis deals with parabolic problems on non-cylindrical domains. The existence and uniqueness of the corresponding initial- boundary value problem is proved by the method of Rothe, which - for the case of non-cylindrical domains - has to be appropriately generalized and applied. LÄS MER
18. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form
Sammanfattning : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. LÄS MER
19. Asymptotic analysis of a nonlinear partial differential equation in a semicylinder
Sammanfattning : We study small solutions of a nonlinear partial differential equation in a semi-infinite cylinder. The asymptotic behaviour of these solutions at infinity isdetermined. First, the equation under the Neumann boundary condition is studied. LÄS MER
20. Studies in potential theory and function spaces
Sammanfattning : With an emphasis on capacities and fine topologies, some potential theoretic problems are treated in the framework of function spaces of Dirichlet and Sobolev type.We give a new characterization of the Sobolev spaces W0m,p(Ω). LÄS MER