A proof of Nehari's theorem through the coefficient of a matricial measure.

Domínguez, Marisela

Displaying similar documents to “A proof of Nehari's theorem through the coefficient of a matricial measure.”

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Special operators on classical spaces of analytic functions.

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Duduchava, R., Natroshvili, D., Shargorodsky, E. (1995)

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On nodal sets and nodal domains on $S^{2}$ and $ℝ^{2}$

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We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on $S^{2}$ . We also construct a solution of the equation $Δ u = u$ in $ℝ^{2}$ that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.

Existence of mild solutions for semilinear equation of evolution

Anna Karczewska, Stanisław Wędrychowicz (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize...