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Can I read On the blow – up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups on EtoBox?
On the blow – up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups by Alessandro Palmieri is a Mathematics article available to read on EtoBox.
What is On the blow – up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups about?
In this note, we prove a blow-up result for the semilinear damped wave equation in a compact Lie group with power nonlinearity | u | p for any p > 1 , under suitable integral sign assumptions for the initial data, by using an iteration argument. A byproduct of this method is the upper bound estimate for the lifespan of a local in time solution. As a preliminary result, a local (in time) existence result is proved in the energy space via Fourier analysis on compact Lie groups.
Who reads On the blow – up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Alessandro Palmieri
- Publisher
- Elsevier BV
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)