Asymptotic estimates of solution to damped fractional wave equation
M Wang, D Fan - Journal of Inequalities and Applications, 2024 - Springer
It is known that the damped fractional wave equation has the diffusive structure as t→∞. Let
u (t, x)= e− t cosh (t L) f (x)+ e− t sinh (t L) L (f (x)+ g (x)) be the solution of the Cauchy …
u (t, x)= e− t cosh (t L) f (x)+ e− t sinh (t L) L (f (x)+ g (x)) be the solution of the Cauchy …
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
In this paper, we focus on studying the Cauchy problem for semilinear damped wave
equations involving the sub-Laplacian L on the Heisenberg group H n with power type …
equations involving the sub-Laplacian L on the Heisenberg group H n with power type …
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces
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 …