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PDE Seminar - Pei-Yong Wang

Pei-Yong Wang
April 4, 2019
11:00AM - 12:00PM
Cockins Hall 240

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Add to Calendar 2019-04-04 11:00:00 2019-04-04 12:00:00 PDE Seminar - Pei-Yong Wang Title: One-Phase Bifurcation of a Free Boundary Problem Associated with p-Laplacian Speaker: Pei-Yong Wang (Wayne State University) Abstract:This talk will cover the existence of a third solution through the Mountain Pass Lemma when the boundary data of the problem decreases below a threshold value. Meanwhile, an evolutionary perspective of the stability-instability of a solution of the stationary problem is gained through a parabolic comparison principle. This is necessary in examining the stability due to the lack of a comparison principle for the elliptic equation. Technically, the proof for the p-Laplacian is much more involved than for the case of Laplacian. Seminar URL: https://research.math.osu.edu/pde/ Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: One-Phase Bifurcation of a Free Boundary Problem Associated with p-Laplacian

Speaker: Pei-Yong Wang (Wayne State University)

Abstract:This talk will cover the existence of a third solution through the Mountain Pass Lemma when the boundary data of the problem decreases below a threshold value. Meanwhile, an evolutionary perspective of the stability-instability of a solution of the stationary problem is gained through a parabolic comparison principle. This is necessary in examining the stability due to the lack of a comparison principle for the elliptic equation. Technically, the proof for the p-Laplacian is much more involved than for the case of Laplacian.

Seminar URLhttps://research.math.osu.edu/pde/

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