RT Journal Article
T1 Nonexistence of solutions to fractional parabolic problem with general nonlinearities
A1 Zhang, Lihong
A1 Liu, Yuchuan
A1 Nieto Roig, Juan José
A1 Wang, Guotao
K1 Fractional parabolic equation
K1 General nonlinearity
K1 Tempered fractional Laplacian
K1 Monotonicity
AB In this content, we investigate a class of fractional parabolic equation with general nonlinearities ∂z(x, t) ∂t − (  + λ) β 2 z(x, t) = a(x1) f (z), where a and f are nondecreasing functions. We first prove that the monotone increasing property of the positive solutions in x1 direction. Based on this, nonexistence of the solutions are obtained by using a contradiction argument. We believe these new ideas we introduced will be applied to solve more fractional parabolic problems.
PB Springer
SN 0009-725X
YR 2023
FD 2023-07-17
LK http://hdl.handle.net/10347/31268
UL http://hdl.handle.net/10347/31268
LA eng
NO Rend. Circ. Mat. Palermo, II. Ser (2023)
NO The research of Zhang has been partially supported by National Natural Science Foun dation of China(No. 12001344) and the Graduate Education and Teaching Innovation Project of Shanxi, China (No. 2022YJJG124), the research of Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant PID2020-113275GB-I00, cofinanced by the European Community fund FEDER, as well as Xunta de Galicia grant ED431C 2019/02 for Competitive Reference Research Groups (2019–22) and the research of Wang has been partially supported by Natural Science Foundation of Shanxi Province, China(No. 20210302123339)
DS Minerva
RD 24 abr 2026