Open AccessOn a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory
Author(s) -
Zujin Zhang,
Xiao Feng Wang,
Zhengan Yao
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/548562
Subject(s) - mathematics , uniqueness , nonlinear system , galerkin method , compact space , mathematical analysis , hyperbolic partial differential equation , harmonic , partial differential equation , physics , quantum mechanics
We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. Its uniqueness is also discussed. Furthermore, we show the regularity of the obtained solution. In our proof, we use harmonic analysis techniques and compactness arguments
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom