Results 71 to 78 of about 1,159 (78)

Transference of local to global $L^2$ maximal estimates for dispersive partial differential equations

open access: yes, 2017
In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local $L^2$ estimates for certain oscillatory integrals with rough phase functions, to the corresponding ...
Castro, Alejandro J.   +2 more
core  

Lipschitz stability in an inverse problem for the wave equation

open access: yes, 2010
We are interested in the inverse problem of the determination of the potential $p(x), x\in\Omega\subset\mathbb{R}^n$ from the measurement of the normal derivative $\partial_\nu u$ on a suitable part $\Gamma_0$ of the boundary of $\Omega$, where $u$ is ...
Baudouin, Lucie
core   +1 more source

Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

open access: yesBoundary Value Problems, 2011
In this paper, we consider the system of nonlinear viscoelastic equations u t t - Δ u + ∫ 0 t g 1 ( t - τ ) Δ u ( τ ) d τ - Δ u t = f 1 ( u , v ) , ( x , t )
Liang Fei, Gao Hongjun
doaj  

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