TY - JOUR
T1 - Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group
AU - Boutefnouchet, Mahmoud
AU - Kirane, Mokhtar
N1 - Publisher Copyright:
© 2015 Diogenes Co., Sofia.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - We present non-existence results for systems of non-local in space hyperbolic equations, for systems of non-local in space parabolic equations, and for systems of non-local in space hyperbolic equations with linear damping terms. Our method of proof is based on the test function method with a help of a convexity inequality recently proved in [2].
AB - We present non-existence results for systems of non-local in space hyperbolic equations, for systems of non-local in space parabolic equations, and for systems of non-local in space hyperbolic equations with linear damping terms. Our method of proof is based on the test function method with a help of a convexity inequality recently proved in [2].
KW - blowing-up solutions
KW - nonlinear hyperbolic systems
KW - nonlinear parabolic systems
KW - nonlocal operators on the Heisenberg group
UR - http://www.scopus.com/inward/record.url?scp=84949793878&partnerID=8YFLogxK
U2 - 10.1515/fca-2015-0077
DO - 10.1515/fca-2015-0077
M3 - Article
AN - SCOPUS:84949793878
SN - 1311-0454
VL - 18
SP - 1336
EP - 1349
JO - Fractional Calculus and Applied Analysis
JF - Fractional Calculus and Applied Analysis
IS - 6
ER -