Existence of Continuous Solutions to a Semilinear Wave Equation

We prove two results; first, we show that a boundary value problem for the semilinear wave equation with smooth, asymptotically linear nonlinearity and sinusoidal smooth forcing along a characteristic cannot have a continuous solution. Thereafter, we show that if the sinusoidal forcing is not isolat...

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Bibliographic Details
Main Author: Preskill, Ben
Format: Others
Published: Scholarship @ Claremont 2009
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/222
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1225&context=hmc_theses