Date of Award
August 2023
Degree Type
Thesis
Degree Name
Master of Science
Department
Mathematics
First Advisor
Lijing Sun
Committee Members
Gabriella Pinter, Chao Zhu
Keywords
Airy Equation, Airy Function, Dispersive Estimate, Optimal Decay Estimation, Partial Differential Equations
Abstract
In this thesis, we investigate the initial value problem to the Airy equation \begin{align} \partial_t u + \partial_{x}^3 u &= 0\\ u(0,x) &= f(x). \end{align}
Recommended Citation
Scherf, Ashley, "An Optimal Decay Estimation of the Solution to the Airy Equation" (2023). Theses and Dissertations. 3343.
https://dc.uwm.edu/etd/3343