Imbedding theorems of Sobolev spaces into Lorentz spaces

Viene provata l'esistenza e l'unicità delle soluzioni deboli per un sistema di equazioni della magnetoidrodinamica in un dominio variabile. Per la dimostrazione si usano il metodo di Galerkin spettrale e la tecnica introdotta da Dal Passo e Ughi per trattare i problemi con dominio dipendente dal tempo.

Some remarks on Triebel spaces

Jürgen Marschall (1987)

Studia Mathematica

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Regularity of the multidimensional scaling functions: estimation of the $L^{p}$ -Sobolev exponent

Jarosław Kotowicz (1999)

Applicationes Mathematicae

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The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the $L^{p}$ -Sobolev regularity of solution for the equation is established.

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