The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions, useful in the ...
Tataru, Daniel
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Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system
Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if ...
Pecher, Hartmut
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Asymptotic behaviour of the energy in partially viscoelastic materials
Jaime E. Mu nmacr +2 more
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On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]
Kopylova E.
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A necessary and sufficient condition for the existence of an exponential attractor
Pražák Dalibor
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Nonexistence of global solutions of abstract wave equations with high energies. [PDF]
Esquivel-Avila JA.
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Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
Gao Qingyong, Li Fushan, Wang Yanguo
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Blow-up of solutions for a viscoelastic equation with nonlinear damping
Zhifeng Yang
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Global existence of radial solutions of a hyperbolic MEMS equation with nonlocal term
Tosiya Miyasita
semanticscholar +1 more source
Resolvent estimates and the decay of the solution to the wave equation with potential [PDF]
Georgiev, Vladimir
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