Displaying similar documents to “Stability estimates for an inverse problem for the linear Boltzmann equation.”

Sharp estimates of the embedding constants for Besov spaces.

David E. Edmunds, W. Desmond Evans, Georgi E. Karadzhov (2006)

Revista Matemática Complutense

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Sharp estimates are obtained for the rates of blow up of the norms of embeddings of Besov spaces in Lorentz spaces as the parameters approach critical values.

Some results on semilinear systems on the unbounded space R.

J. M. Mercier (2000)

Revista Matemática Complutense

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We study in this paper some systems, using standard tools devoted to the analysis of semilinear elliptic problems on R. These systems do not admit any non trivial radial solutions in the E E = + 1 cases. A first type of solution consists in a ground state of R (-1,-1), exhibited by variational arguments, whose structure is a finite energy perturbation of a non trivial constant solution of R (-1,-1). A second type consists in a radial, oscillating, asymptotically null at infinity solution...

Boundary sentinels in cylindrical domains.

J. Saint Jean Paulin, M. Vanninathan (2001)

Revista Matemática Complutense

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We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary...