2024-03-29T08:31:54Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/694752022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On Blow up at Space Infinity for Semilinear Heat EquationsGiga, YoshikazuUmeda, Noriaki410A nonnegative blowing up solution of the semilinear heat equation ut = ¢u + up with p > 1 is considered when initial data u0 satisfies lim|x|→∞ 0 = M > 0, 0 ≤ M and u0 ≢ M. It is shown that the solution blows up only at space infinity and that lim|x|→∞ u(x, t) is the solution of the ordinary di®erential equation vt = vp with v(0) = M.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69475info:doi/10.14943/83821https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69475/1/pre670.pdfHokkaido University Preprint Series in Mathematics6701202004engpublisher