Local well-posedness for the Cauchy problem to nonlinear heat equations of Fujita type in nearly critical Besov space

DOI10.1007/978-3-319-66764-5_10zbMath1387.35345OpenAlexW2766358026MaRDI QIDQ1700693

Yuuki Yamane, Takayoshi Ogawa

Publication date: 21 February 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-66764-5_10

zbMATH Keywords

nonlinear heat equationlocal well-posednessFujita critical exponentmodified Besov space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order parabolic equations (35K15) Motion of charged particles (78A35)