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A semilinear hyperbolic system violating the null condition
semilinear hyperbolic system null condition Analysis of PDEs
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2012/6/7
We consider a two-component system of semilinear wave equations in three space dimensions with quadratic nonlinear terms not satisfying the null condition. We prove small data global existence of the ...
Global classical solutions for partially dissipative hyperbolic system of balance laws
balance laws entropy dissipative classical solutions Chemin-Lerner’s spaces
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2012/2/29
This work is concerned with ($N$-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebraic condition, a gener...
Profile of Blow-up Solution to Hyperbolic System with Nonlocal Term
hyperbolic system nonlocal term blow-up profile
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2007/12/12
This paper is concerned with a nonlocal hyperbolic system as follows: $$\align & u_{tt}=\triangle u+\bigg( \int_\Omega vdx\bigg)^{p} \quad \textrm{for}\,\,x\in \mathbb{R}^N, \,\, t>0, \\ & v_{tt}=\tri...
THE INVERSE NONSTATIONARY SCATTERING PROBLEM FOR A HYPERBOLIC SYSTEM OF EQUATIONS ON SEMI-AXIS
NONSTATIONARY SCATTERING HYPERBOLIC SYSTEM SEMI-AXIS
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2010/3/17
In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied. The coefficients of the system are uniquely determined ac...