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math.AP2024
Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity
Dhouha Draouil, Mohamed Majdoub
We study the initial value problem for a defocusing semi-linear wave equation with spatially growing nonlinearity. By employing Moser-Trudinger type inequalities and Strichartz est…
math.AP2024
The lifespan of solutions of semilinear wave equation with weighted nonlinearity
Lulwah Al-Essa, Mohamed Majdoub
We investigate the lifespan of solutions to a specific variant of the semilinear wave equation, which incorporates weighted nonlinearity $$ u_{tt}-u_{xx} =|x|^α|u|^p, \quad\mbox{fo…