Results 31 to 40 of about 1,144 (44)
Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions [PDF]
, 2014 This paper is concerned with the Cauchy problem for the semilinear wave equation: $u_{tt}-\Delta u=F(u) \ \mbox{in} \ R^n\times[0, \infty)$, where the space dimension $n \ge 2$, $F(u)=|u|^p$ or $F(u)=|u|^{p-1}u$ with $p>1$.
Rammaha, Mohammad +3 more
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Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
, 2020 We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach.
Xuan, Pham Truong
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Efficient PML for the wave equation [PDF]
, 2009 In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
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Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]
Commun Partial Differ Equ, 2021 Kiesenhofer A, Krieger J.
europepmc +1 more source
Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed. [PDF]
SIAM J Imaging Sci, 2022 Nguyen L, Haltmeier M, Kowar R, Do N.
europepmc +1 more source
Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]
Lett Math Phys, 2022 Fajman D, Urban L.
europepmc +1 more source
Uniform energy decay for wave equations with unbounded damping coefficients
, 2017 We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence result of a ...
Ikehata, Ryo, Takeda, Hiroshi
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Boundary stabilization and control of wave equations by means of a general multiplier method
, 2009 We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation.
Cornilleau, Pierre, Loheac, Jean-Pierre
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, 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
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Lipschitz stability in an inverse problem for the wave equation
, 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
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