scholarly journals Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations

2013 ◽  
Vol 141 (10) ◽  
pp. 3515-3527 ◽  
Author(s):  
Alan McIntosh ◽  
Andrew J. Morris
Keyword(s):  
Hyperbolic Equations ◽  
Propagation Speed ◽  
Finite Propagation ◽  
First Order ◽  
Huygens Principle ◽  
Finite Propagation Speed

scholarly journals Finite propagation speed and kernels of strictly elliptic operators

1985 ◽  
Vol 8 (1) ◽  
pp. 75-91 ◽  
Author(s):  
David Gurarie
Keyword(s):  
Singular Perturbation ◽  
Schrödinger Operators ◽  
Propagation Speed ◽  
Elliptic Operators ◽  
Schrodinger Operators ◽  
Finite Propagation ◽  
Finite Propagation Speed

We establish estimates of the resolvent and other related kernels and discussLp-theory for a class of strictly elliptic operators onRn. The class of operators considered in the paper is of the formA0+Bwith the leading elliptic partA0and a “singular” perturbationB, whose coefficients haveLp-type and are modeled after Schrödinger operators.

Finite Propagation Speed for Limited Flux Diffusion Equations

2006 ◽  
Vol 182 (2) ◽  
pp. 269-297 ◽  
Author(s):  
Fuensanta Andreu ◽  
Vicent Caselles ◽  
José M. Mazón ◽  
Salvador Moll
Keyword(s):  
Propagation Speed ◽  
Diffusion Equations ◽  
Finite Propagation ◽  
Finite Propagation Speed ◽  
Flux Diffusion

scholarly journals Linear relativistic thermoelastic rod

2020 ◽  
Vol 17 (04) ◽  
pp. 863-882
Author(s):  
Anne T. Franzen ◽  
José Natário
Keyword(s):  
Heat Waves ◽  
Hyperbolic Equations ◽  
Classical System ◽  
Propagation Speed ◽  
The Other ◽  
Heat Conducting ◽  
Energy Integral ◽  
Elastic Rod ◽  
Fourier Decomposition ◽  
Finite Propagation Speed

We derive and analyze the linearized hyperbolic equations describing a relativistic heat-conducting elastic rod. We construct a decreasing energy integral for these equations, compute the associated characteristic propagation speeds and prove that the solutions decay in time by using a Fourier decomposition. For comparison purposes, we obtain analogous results for the classical system with heat waves, in which the finite propagation speed of heat is kept but the other relativistic terms are neglected and also for the usual classical system.

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