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2023

Partial Differential Equations

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Full-Text Articles in Physical Sciences and Mathematics

An Optimal Decay Estimation Of The Solution To The Airy Equation, Ashley Scherf Aug 2023

An Optimal Decay Estimation Of The Solution To The Airy Equation, Ashley Scherf

Theses and Dissertations

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}