Sökning: "interior regularity"

Hittade 4 avhandlingar innehållade orden interior regularity.

1. 1. Regularity and boundary behavior of solutions to complex Monge–Ampère equations

   Författare :Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Complex Monge--Ampère operator; interior regularity; plurisubharmonic function; blow-up rate of solutions; bounded plurisubharmonic exhaustion function; globally Lipschitz; strongly pseudoconvex domain; hyperconvex domain; Bergman kernel; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER

3. 2. Regularity results in free boundary problems

   Författare :Gohar Aleksanyan; John Andersson; Darya Apushkinskaya; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary problems. We use iteration arguments to derive the optimal regularity in the optimal switching problem, and to analyse the regularity of the free boundary in the biharmonic obstacle problem and in the double obstacle problem. LÄS MER

4. 3. Regularity properties of two-phase free boundary problems

   Författare :Erik Lindgren; Henrik Shah gholian; Regis Monneau; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Mathematical analysis; Analys;

   Sammanfattning : This thesis consists of four papers which are all related to the regularity properties of free boundary problems. The problems considered have in common that they have some sort of two-phase behaviour.In papers I-III we study the interior regularity of different two-phase free boundary problems. LÄS MER

5. 4. Partial differential equations and systems related to Morrey spaces

   Författare :Maria Alessandra Ragusa; Alexey Karapetyants; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This PhD thesis deals with the study of well posedness, existence and regularity properties of solutions of partial differential equations and systems. Preparatory to the study of partial differential equations is the action of some integral operators, that are extensively used. LÄS MER