Article Contents
Article Contents

# Existence and blow up of small amplitude nonlinear waves with a negative potential

• Consider a nonlinear wave equation in three space dimensions with zero mass together with a negative potential. If the potential is sufficiently short-range, then it does not alter the global existence of small-amplitude solutions. On the other hand, if the potential is sufficiently large, it will force some solutions to blow up in a finite time.
Mathematics Subject Classification: 35L70, 35B35.

 Citation: