Student Co-author

HMC Undergraduate

Document Type

Article - postprint


Mathematics (HMC)

Publication Date



For double-periodic and Dirichlet-periodic boundary conditions, we prove the existence of solutions to a forced semilinear wave equation with asymptotically linear nonlinearity, no resonance, and non-monotone nonlinearity when the forcing term is not flat on characteristics. The solutions are in L when the forcing term is in L and continous when the forcing term is continuous. This is in contrast with the results in [4], where the non-enxistence of continuous solutions is established even when forcing term is of class C but is flat on a characteristic.


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© 2010 American Institute of Mathematical Sciences