The authors obtain sharp lifespan estimates for 1D wave equations with space-derivative semilinear terms and give a simple blow-up proof via iteration and slicing that reduces part of the problem to the Li-Zhou ODE inequality.
Kitamura,Semilinear wave equations of derivative type with characterictic wights in one space dimension, Differential and Integral Equations,39(2026), no
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Lifespan estimate for one dimensional wave equation with semilinear terms of spatial derivative
The authors obtain sharp lifespan estimates for 1D wave equations with space-derivative semilinear terms and give a simple blow-up proof via iteration and slicing that reduces part of the problem to the Li-Zhou ODE inequality.