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- W2035963399 abstract "Exponential dichotomy properties are studied for non-autonomous quasilinear partial differential equations that can be written as an ordinary differential equation in a Hilbert space . It is assumed that the non-linear function is essentially subordinated to the linear operator ; namely, the gap property from the theory of inertial manifolds must hold. Integral manifolds and attracting at an exponential rate an arbitrary solution of this equation as and , respectively, are constructed. The general results established are applied to the study of the dichotomy properties of solutions of a one-dimensional reaction-diffusion system and of a dissipative hyperbolic equation of sine-Gordon type." @default.
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- W2035963399 date "2005-04-30" @default.
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- W2035963399 title "Dichotomy property of solutions of quasilinear equations in problems on inertial manifolds" @default.
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