TY - JOUR
T1 - Asymptotics for a nonlinear integral equation with a generalized heat kernel
AU - Ishige, Kazuhiro
AU - Kawakami, Tatsuki
AU - Kobayashi, Kanako
N1 - Funding Information:
The first author was supported in part by the Grant-in-Aid for Scientific Research (B) (No. 23340035), from Japan Society for the Promotion of Science. The second author was supported in part by the Grant-in-Aid for Young Scientists (B) (No. 24740107) from Japan Society for the Promotion of Science.
Publisher Copyright:
© 2014, Springer Basel.
PY - 2014/12
Y1 - 2014/12
N2 - This paper is concerned with a nonlinear integral equation(Formula presented.)where(Formula presented.) for some K ≥ 0. Here, G = G(x,t) is a generalization of the heat kernel. We are interested in the asymptotic expansions of the solution of (P) behaving like a multiple of the integral kernel G as t→∞.
AB - This paper is concerned with a nonlinear integral equation(Formula presented.)where(Formula presented.) for some K ≥ 0. Here, G = G(x,t) is a generalization of the heat kernel. We are interested in the asymptotic expansions of the solution of (P) behaving like a multiple of the integral kernel G as t→∞.
UR - http://www.scopus.com/inward/record.url?scp=84939883823&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84939883823&partnerID=8YFLogxK
U2 - 10.1007/s00028-014-0237-3
DO - 10.1007/s00028-014-0237-3
M3 - Article
AN - SCOPUS:84939883823
VL - 14
SP - 749
EP - 777
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
SN - 1424-3199
IS - 4-5
ER -