Self-similar solutions of semilinear wave equations with a focusing nonlinearity
classification
🧮 math.AP
math-phmath.MP
keywords
self-similarsolutionswavecountabledeltadimensionsequationequations
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We prove that in three space dimensions a nonlinear wave equation $u_{tt}-\Delta u = u^p$ with $p\geq 7$ being an odd integer has a countable family of regular spherically symmetric self-similar solutions.
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