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Author:

Zhang, Qingtian

Title:

Uniqueness and singularities of weak solutions to some nonlinear wave equations

Graduate Program:

Mathematics

Keywords:

Camassa-Holm
Singularity
Uniqueness
weak solution
p-system
variational wave equation
well-posedness

File:

Download Qingtian_Zhang-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Chun Liu, Committee Member
Anna L Mazzucato, Committee Member
Francesco Costanzo, Outside Member
Toan Nguyen, Committee Member
Yuxi Zheng, Committee Member

Author:

Zhang, Yajie

Title:

Transmission Problems for Parabolic Equations and Applications to the Finite Element Method

Graduate Program:

Mathematics

Keywords:

Well-posedness
Neumann-Neumann vertex
non-smooth interface
transmission problem
broken weighted Sobolev space
semigroup theory
finite element method with graded mesh

File:

Download psu_thesis.pdf

Committee Members:

Anna L Mazzucato, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Chair/Co-Chair
Victor Nistor, Committee Member
Kris Jenssen, Committee Member
Francesco Costanzo, Outside Member