- -

Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes

Mostrar el registro completo del ítem

Albanese, AA.; Jornet Casanova, D.; Oliaro, A. (2012). Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes. Mathematical News / Mathematische Nachrichten. 285(4):411-425. https://doi.org/10.1002/mana.201010039

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/40659

Ficheros en el ítem

[Cerrado]
Nombre: ANGELA ALBANESE;J ...
Tamaño: 196.1Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor

Metadatos del ítem

Título: Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
Autor: Albanese, Angela Ama Jornet Casanova, David Oliaro, Alessandro
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalytic Beurling or Roumieu wave front set, Ω is an open subset of R{double-struck} n, P is a linear partial differential ...[+]
Palabras clave: Non-quasianalytic weight function , Pseudodifferential operators , Linear partial differential opera- tors , Wave front set , Propagation of singularities
Derechos de uso: Cerrado
Fuente:
Mathematical News / Mathematische Nachrichten. (issn: 0025-584X ) (eissn: 1522-2616 )
DOI: 10.1002/mana.201010039
Editorial:
Wiley-VCH Verlag
Versión del editor: http://dx.doi.org/10.1002/mana.201010039
Código del Proyecto:
info:eu-repo/grantAgreement/MEC//MTM2007-30904-E/ES/VARIABLE COMPLEJA, ESPACIOS DE FUNCIONES Y OPERADORES ENTRE ELLOS/ /
info:eu-repo/grantAgreement/GVA//ACOMP%2F2009%2F253/
info:eu-repo/grantAgreement/GVA//GV%2F2010%2F040/
info:eu-repo/grantAgreement/MEC//MTM2007-62643/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS COMPLEJO Y LAS ECUACIONES EN DERIVADAS PARCIALES/
Agradecimientos:
The research of the second author was partially supported by MEC and FEDER, Project MTM2007-62643, and MEC, Project MTM2007-30904-E, and Conselleria d'Educacio de la GVA, Ajuda complementaria ACOMP 2009/253, Project ...[+]
Tipo: Artículo

References

Albanese, A. A., Jornet, D., & Oliaro, A. (2010). Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators. Integral Equations and Operator Theory, 66(2), 153-181. doi:10.1007/s00020-010-1742-6

Bolley, P., & Camus, J. (1981). Regularite gevrey et iteres pour une classe d’operateurs hypoelliptiques. Communications in Partial Differential Equations, 6(10), 1057-1110. doi:10.1080/03605308108820205

Bonet, J., Galbis, A., & Momm, S. (2001). Transactions of the American Mathematical Society, 353(06), 2275-2292. doi:10.1090/s0002-9947-01-02780-5 [+]
Albanese, A. A., Jornet, D., & Oliaro, A. (2010). Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators. Integral Equations and Operator Theory, 66(2), 153-181. doi:10.1007/s00020-010-1742-6

Bolley, P., & Camus, J. (1981). Regularite gevrey et iteres pour une classe d’operateurs hypoelliptiques. Communications in Partial Differential Equations, 6(10), 1057-1110. doi:10.1080/03605308108820205

Bonet, J., Galbis, A., & Momm, S. (2001). Transactions of the American Mathematical Society, 353(06), 2275-2292. doi:10.1090/s0002-9947-01-02780-5

Braun, R. W., Meise, R., & Taylor, B. A. (1990). Ultradifferentiable functions and Fourier analysis. Results in Mathematics, 17(3-4), 206-237. doi:10.1007/bf03322459

Fernández, C., & Galbis, A. (2006). Superposition in Classes of Ultradifferentiable Functions. Publications of the Research Institute for Mathematical Sciences, 42(2), 399-419. doi:10.2977/prims/1166642109

Fernández, C., Galbis, A., & Jornet, D. (2004). ω-hypoelliptic differential operators of constant strength. Journal of Mathematical Analysis and Applications, 297(2), 561-576. doi:10.1016/j.jmaa.2004.03.028

Fernández, C., Galbis, A., & Jornet, D. (2005). Pseudodifferential operators on non-quasianalytic classes of Beurling type. Studia Mathematica, 167(2), 99-131. doi:10.4064/sm167-2-1

Fernández, C., Galbis, A., & Jornet, D. (2008). Pseudodifferential operators of Beurling type and the wave front set. Journal of Mathematical Analysis and Applications, 340(2), 1153-1170. doi:10.1016/j.jmaa.2007.09.035

Heinrich, T., & Meise, R. (2007). A support theorem for quasianalytic functionals. Mathematische Nachrichten, 280(4), 364-387. doi:10.1002/mana.200410488

Hörmander, L. (1971). Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients. Communications on Pure and Applied Mathematics, 24(5), 671-704. doi:10.1002/cpa.3160240505

Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-642-96750-4

Rodino, L. (1993). Linear Partial Differential Operators In Gevrey Spaces. doi:10.1142/9789814360036

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem