PhD Qualifying Exam of Mr. Edward Chernysh
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DATE: ,July 20, 2023
TIME: 1:30 p.m. – 3:00 PM
PLACE: Zoom Meeting
PRINCIPAL EXAMINERS:
Prof. Pengfei Guan
Topic 1: Fundamental results on Sobolev spaces and Elliptic PDE. Material will be pulled from Chapters 7 and 8 of Gilbarg and Trudinger's book: Elliptic Partial Differential Equations of Second Order (Second Edition).
Prof. Jerome Vetois
Topic 2: Compactness principles and existence results for a class of semilinear PDE with critical nonlinearites. This will include concentration compactness principles, variational methods, and certain minimization approaches. Material will be pulled from Struwe's book: Varitaional Methods (Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems). Relevant sections are Chapter I sections 4.4 to 4.11 (pages 42-51) and Chapter III sections 1, 2 up to 2.4 (pages 169-180) and 3 (pages 183-194)
OTHER EXAMINERS:
Prof. Dmitry Jakobson (Additional Examiner)
Prof. Niky Kamran (Additional Examiner)
Prof. Russell Steele (Chair, Examining Committee)
The PhD Qualifying Exam (formerly known as the Part B Exam) is open to staff members and visitors but not to students