Open Access Senior Thesis
Bachelor of Science
Adolfo Rumbos (Pomona College)
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.
Preskill, Ben, "Existence of Continuous Solutions to a Semilinear Wave Equation" (2009). HMC Senior Theses. 222.