Justification of Multidimensional Single Phase Semilinear Geometric Optics
- 1 April 1992
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 330 (2) , 599-623
- https://doi.org/10.2307/2153924
Abstract
For semilinear strictly hyperbolic systems <!-- MATH $Lu= f(x,u)$ --> , we construct and justify high frequency nonlinear asymptotic expansions of the form <!-- MATH \begin{displaymath} {u^\varepsilon }(x)\sim\sum\limits_{j\, \geq \,0} {{\varepsilon ^j}{U_j}(x,\varphi \,(x)/\varepsilon}, \quad L{u^\varepsilon } - f(x,{u^\varepsilon })\sim 0 . \end{displaymath} -->
Keywords
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