Sökning: "monotone functions"

Visar resultat 1 - 5 av 28 avhandlingar innehållade orden monotone functions.

1. 1. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables

   Författare :Håkan Persson; Kaj Nyström; Maciej Klimek; Evgeny Poletsky; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; uniformly parabolic equations; non-linear parabolic equations; linear growth; Lipschitz domain; NTA-domain; Riesz measure; boundary behavior; boundary Harnack; degenerate parabolic; parabolic measure; plurisubharmonic functions; continuous boundary; hyperconvexity; bounded exhaustion function; Hölder for all exponents; log-lipschitz; boundary regularity; approximation; Mergelyan type approximation; plurisubharmonic functions on compacts; Jensen measures; monotone convergence; plurisubharmonic extension; plurisubharmonic boundary values; Mathematics; Matematik;

   Sammanfattning : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. LÄS MER

3. 2. Hardy-type inequalities on cones of monotone functions

   Författare :Olga Popova; Lyudmila Turowska; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Mathematics; Matematik;

   Sammanfattning : This Licentiate thesis deals with Hardy-type inequalities restricted to cones of monotone functions. The thesis consists of two papers (paper A and paper B) and an introduction which gives an overview to this specific field of functional analysis and also serves to put the papers into a more general frame. LÄS MER

4. 3. Carleman type inequalities and Hardy type inequalities for monotone functions

   Författare :Maria Johansson; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Matematik; Mathematics; Mathematics Education; Matematik och lärande;

   Sammanfattning : This Ph.D. thesis deals with various generalizations of the inequalities by Carleman, Hardy and Polya-Knopp. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. LÄS MER

5. 4. On the Einstein-Vlasov system

   Författare :Mikael Fjällborg; Alexander Bobylev; Markus Kunze; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Einstein-Vlasov system; finite extension; monotone functions; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

   Sammanfattning : In this thesis we consider the Einstein-Vlasov system, which models a system of particles within the framework of general relativity, and where collisions between the particles are assumed to be sufficiently rare to be neglected. Here the particles are stars, galaxies or even clusters of galaxies, which interact by the gravitational field generated collectively by the particles. LÄS MER

7. 5. G-convergence and homogenization for some monotone operators with multiple scales

   Författare :Liselott Flodén; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; homogenization; monotone operators; multiscale convergence; parabolic equations; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis deals with questions concerning the convergence of sequences of functions and operators. G-convergence is studied for elliptic and parabolic equations and the necessary investigations of the properties of certain monotone operators are made. LÄS MER