Premium
On some hyperbolic type equations and weighted anisotropic Hardy operators
Author(s) -
Lundberg Staffan,
Samko Natasha
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4062
Subject(s) - mathematics , degenerate energy levels , type (biology) , partial differential equation , hardy space , anisotropy , hyperbolic partial differential equation , mathematical analysis , pure mathematics , quantum mechanics , biology , ecology , physics
We introduce a version of weighted anisotropic Morrey spaces and anisotropic Hardy operators. We find conditions for boundedness of these operators in such spaces. We also reveal the role of these operators in solving some classes of degenerate hyperbolic partial differential equations. Copyright © 2016 John Wiley & Sons, Ltd.