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Theorem 3 implies strong asymptotic stability results: the energy of strong solutions decays to zero, with an explicit decay rate

There is a bijection between left cosets of S n in the affine group and certain types of partitions (see Bjorner and Brenti (1996) and Eriksson and Eriksson (1998)).. In B-B,

Actually a similar property shall be first de- rived for a general class of first order systems including the transport equation and Schr¨odinger equations.. Then we shall consider

Hence, the degree theory constructed in [1] is an extension of the classical Leray–Schauder degree in Hilbert space.. It is unique, single-valued and has the usual properties of

Lair and Shaker [10] proved the existence of large solutions in bounded domains and entire large solutions in R N for g(x,u) = p(x)f (u), allowing p to be zero on large parts of Ω..

We prove a continuous embedding that allows us to obtain a boundary trace imbedding result for anisotropic Musielak-Orlicz spaces, which we then apply to obtain an existence result

This concludes the proof that the Riemann problem (1.6) admits a weak solution satisfying the boundary condition in the relaxed sense (1.6c).... The two manifolds are transverse and

This paper is a sequel to [1] where the existence of homoclinic solutions was proved for a family of singular Hamiltonian systems which were subjected to almost periodic forcing...