Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations

Author： Cadeddu Lucio   Gramchev Todor  

Publisher： Taylor & Francis Ltd

ISSN： 1065-2469

Source： Integral Transforms and Special Functions, Vol.20, Iss.3-4, 2009-03, pp. : 275-282

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

We propose constructions of multiparameter depending scales of Banach spaces of anisotropic ultra-differentiable functions and investigate their invariance under changes of the variables. We prove new local solvability results in such spaces for some classes of linear and semilinear partial differential equations with multiple characteristics.

Related content

Gradient bounds for anisotropic partial differential equations

By Farina Alberto   Valdinoci Enrico  

Calculus of Variations and Partial Differential Equations, Vol. 49, Iss. 3-4, 2014-03 ,pp. : 923-936 (14)

Springer Publishing Company

Access to resources Recommend Favorite

Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces

By Xiao Ti-Jun   Liang Jin   Zhang Jun  

Semigroup Forum, Vol. 76, Iss. 3, 2008-05 ,pp. : 518-524 (7)

Springer Publishing Company

Access to resources Recommend Favorite

Probabilistic methods for semilinear partial differential equations. Applications to finance

By Crisan Dan   Manolarakis Konstantinos  

ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 44, Iss. 5, 2010-08 ,pp. : 1107-1133 (27)

Edp Sciences

Access to resources Recommend Favorite

Local solvability for powers of anisotropic operators

By  

Applicable Analysis, Vol. 86, Iss. 4, 2007-04 ,pp. : 421-431 (11)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions

By  

ANZIAM Journal, Vol. 43, Iss. 2, 2001-10 ,pp. : 291-320 (30)

Cambridge University Press

Access to resources Recommend Favorite