Sökning: "obstacle differential"

Visar resultat 1 - 5 av 18 avhandlingar innehållade orden obstacle differential.

1. 1. Obstacle Problems for Green Potentials and for Parabolic Quasiminima

   Författare :Catarina Petersson; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Matematik; degenerate parabolic operators; Mathematics; quasiminima; obstacle problems; Green potentials;

   Sammanfattning : The thesis consists of two parts. In the first part pure potential theoretic methods are employed to study the obstacle problem connected with a uniformly elliptic second-order differential operator in divergence form. Regular points of the obstacles are characterized by the classical Wiener criterion. LÄS MER

3. 2. The Double Obstacle Problem on Metric Spaces

   Författare :Zohra Farnana; Jan Björn; Anders Björn; Juha Kinnunen; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; metric space; nonlinear; obstacle problem; p-harmonic; potential theory; regularity; stability; MATHEMATICS; MATEMATIK;

   Sammanfattning : During the last decade, potential theory and p-harmonic functions have been developed in the setting of doubling metric measure spaces supporting a p-Poincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. LÄS MER

4. 3. A Probabilistic Approach to Non-Markovian Impulse Control

   Författare :Johan Jönsson; Magnus Perninge; Säid Hamadène; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic optimal control; optimal stopping; optimal switching; impulse control; Snell envelope; obstacle problems; partial differential equation; Matematik; Mathematics;

   Sammanfattning : This thesis treats mathematical considerations that arise in relation to certain stochastic optimal control problems, in particular of switching and impulse type. Both of these problems are extensions of the well-known optimal stopping problem. LÄS MER

5. 4. Free Boundary Problems of Obstacle Type, a Numerical and Theoretical Study

   Författare :Mahmoudreza Bazarganzadeh; Henrik Shahgholian; John King; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Numerical analysis; Free boundary problems; Mathematics; Matematik;

   Sammanfattning : This thesis consists of five papers and it mainly addresses the theory and schemes to approximate the quadrature domains, QDs. The first deals with the uniqueness and some qualitative properties of the two QDs. The concept of two phase QDs, is more complicated than its one counterpart and consequently introduces significant and interesting open. LÄS MER

7. 5. Techniques and Algorithms for Autonomous Vehicles in Forest Environment

   Författare :Ola Ringdahl; Thomas Hellström; Jürgen Burstler; Hans Gripentrog; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Autonomous navigation; Robotics; Obstacle avoidance; Computer science; Datavetenskap;

   Sammanfattning : This thesis describes an ongoing project of which the purpose is designing and developing techniques and algorithms for autonomous off-road vehicles. The focus is on some of the components necessary to accomplish autonomous navigation, which involves sensing and moving safely along a user-defined path in a dynamic forest environment. LÄS MER