Sökning: "semilinear"
Visar resultat 1 - 5 av 8 avhandlingar innehållade ordet semilinear.
1. Spatial and Physical Splittings of Semilinear Parabolic Problems
Sammanfattning : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. LÄS MER
2. Critical point theory with applications to semilinear problems without compactness
Sammanfattning : The thesis consists of four papers which all regard the study of critical point theory and its applications to boundary value problems of semilinear elliptic equations. More specifically, let Ω be a domain, and consider a boundary value problem of the form -L u + u = f(x,u) in Ω, and with the boundary condition u=0. LÄS MER
3. Qualitative Aspects of Nonlinear Parabolic Partial Differential Equations and Systems
Sammanfattning : This thesis contains four papers about some aspects of nonlinear parabolic equations and systems. Paper 1. A note on quenching for parabolic equations with dynamic boundary conditions We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary. Paper 2. LÄS MER
4. Analysis of Adaptive Finite Element Methods
Sammanfattning : This thesis is concerned with the analysis and design of adaptive finite element methods for a variety of differential equations in mechanics and physics, including linear and semilinear elliptic equations, eigenvalue problems, the stationary Navier-Stokes equations, and Hamiltonian systems. The analysis focuses on sharp a posteriori error estimates, sharp a priori error estimates, stability properties, and the design of adaptive algorithms. LÄS MER
5. Error Analysis and Smoothing Properties of Discretized Deterministic and Stochastic Parabolic Problems
Sammanfattning : In this thesis we consider smoothing properties and approximation of time derivatives for parabolic equations and error estimates for stochastic parabolic partial differential equations approximated by the finite element method. In the first two papers, we study smoothing properties and approximation of the time derivative in time discretization schemes with constant and variable time steps for an abstract homogeneous linear parabolic problem. LÄS MER
