Sharp condition for global existence and blow-up on Klein-Gordon equation
Summary: We study the initial boundary value problem of the nonlinear Klein-Gordon equation. First, we introduce a family of potential wells. By using them, we obtain a new existence theorem of global solutions and show the blow-up in finite time of solutions. Especially, the relation between the above two phenomena is derived as a sharp condition.
scientific article; zbMATH DE number 5632440
scientific article