Graduation Year
2009
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Alfonso Castro
Reader 2
Adolfo Rumbos (Pomona College)
Abstract
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 isolated to a characteristic of the wave equation, then the problem has a continuous solution.
Recommended Citation
Preskill, Ben, "Existence of Continuous Solutions to a Semilinear Wave Equation" (2009). HMC Senior Theses. 222.
https://scholarship.claremont.edu/hmc_theses/222
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