Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space
M D'Abbicco - arXiv preprint arXiv:2408.11756, 2024 - arxiv.org
In this note, we prove the global existence of solutions to the semilinear damped wave
equation in $\mathbb {R}^ n $, $ n\leq6 $, with critical nonlinearity under the assumption that …
equation in $\mathbb {R}^ n $, $ n\leq6 $, with critical nonlinearity under the assumption that …
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case
Let $\mathbb G $ be a graded Lie group with homogeneous dimension $ Q $. In this paper,
we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving …
we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving …
Blow-Up Result For Semilinear Damped Wave Equations With Data from Negative Order Sobolev Spaces: the Critical Case
V Kumar, SS MONDAL, M Ruzhansky… - Available at SSRN …, 2024 - papers.ssrn.com
In this paper, we address an open question posed in(Chen and Reissig, J. Evol. Equ. 23,
13,(2023)). We show that the weak solution to the damped wave equation with power type …
13,(2023)). We show that the weak solution to the damped wave equation with power type …