On the solvability of pseudodifferential operators
Nils Dencker (2005-2006)
Séminaire Équations aux dérivées partielles
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Nils Dencker (2005-2006)
Séminaire Équations aux dérivées partielles
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Messina, F. (2003)
Rendiconti del Seminario Matematico
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Gianluca Garello, Alessandro Morando (2005)
Bollettino dell'Unione Matematica Italiana
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Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of continuity for pseudodifferential operators whose symbol a(x,ξ) is non smooth with respect to x and whose derivatives with respect to ξ have a decay of order ρ with . The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.
S. Campanato, P. Cannarsa (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Garetto, Claudia (2006)
The New York Journal of Mathematics [electronic only]
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Bonet, J., Fernández, C., Meise, R. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Morando, Alessandro, Secchi, Paolo (2010)
International Journal of Differential Equations
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Bogdan Ziemian (1992)
Banach Center Publications
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Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.