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

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

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. The main result...

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Bibliographic Details
Main Author: Persson, Håkan
Format: Doctoral Thesis
Language:English
Published: Uppsala universitet, Analys och sannolikhetsteori 2015
Subjects:
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
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251325
http://nbn-resolving.de/urn:isbn:978-91-506-2458-8

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251325
http://nbn-resolving.de/urn:isbn:978-91-506-2458-8

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