Click here to flash read.
arXiv:2404.12058v1 Announce Type: new
Abstract: We investigate nonexistence of nontrivial nonnegative solutions to a class of semilinear parabolic equations with a positive potential, posed on weighted graphs. Assuming an upper bound on the Laplacian of the distance and a suitable weighted space-time volume growth condition, we show that no global solutions exists. We also discuss the optimality of the hypotheses, thus recovering a critical exponent phenomenon of Fujita type.
Click here to read this post out
ID: 813196; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: April 19, 2024, 7:32 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 7
CC:
No creative common's license
No creative common's license
Comments: