Ms. Ashley Scherf
University of Wisconsin-Milwaukee
Graduate Student
In this thesis we investigate the initial value problem to the Airy equation
∂tu + ∂3xu = 0, (1)
u(0, x) = f(x). (2)
We found the optimal decay estimate of the solution to the initial value problem
(1)-(2). The main tool we used is Fourier analysis and oscillatory integrals.
Committee Members:
Profs. Lijing Sun (advisor), Chao Zhu, and Gabriella Pinter