- Title Information
- Title
- Regularity Theory of Elliptic and Parabolic Equations and Systems
- Name:
Personal
- Name Part
- Zhang, Hong
- Role
- Role Term:
Text
- creator
- Name:
Personal
- Name Part
- Dong, Hongjie
- Role
- Role Term:
Text
- Advisor
- Name:
Personal
- Name Part
- Guo, Yan
- Role
- Role Term:
Text
- Reader
- Name:
Personal
- Name Part
- Dafermos, Constantine
- Role
- Role Term:
Text
- Reader
- Name:
Corporate
- Name Part
- Brown University. Department of Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Origin Information
- Copyright Date
- 2017
- Physical Description
- Extent
- , None p.
- digitalOrigin
- born digital
- Note:
thesis
- Thesis (Ph. D.)--Brown University, 2017
- Genre (aat)
- theses
- Abstract
- In this dissertation, we study regularity theory of elliptic and parabolic equations
and systems with irregular coefficients.
In the first part of the dissertation, we consider Schauder and Lp theories for general linear elliptic and parabolic systems with particular types of irregular coefficients. We also establish some new regularity results regarding a model from the fiber reinforced composite material and expand the Lp and Schauder estimates of higher-order parabolic equations and systems to include a large class of irregular coefficients.
In the second part of the dissertation, we investigate the regularity problem of nonlinear nonlocal elliptic and parabolic equations. We prove the Schauder estimates for concave fully nonlinear nonlocal parabolic equations and then establish the Dini type estimates for such type of equations.
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/01400410")
- Topic
- Applied mathematics
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893458")
- Topic
- Differential equations, Elliptic
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893480")
- Topic
- Differential equations, Parabolic
- Language
- Language Term (ISO639-2B)
- English
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20170616
- Identifier:
DOI
- 10.7301/Z06D5RGB
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations