Life span of positive solutions for the cauchy problem for the parabolic equations

HIGHLIGHTS

• who: Yusuke Yamauchi from the Department of Applied Physics, Waseda University, Okubo, Shinjuku-ku, Tokyo, Japan have published the research work: Life Span of Positive Solutions for the Cauchy Problem for the Parabolic Equations, in the Journal: (JOURNAL) of 15/Dec/2011
• what: The authors show some examples of the values M∞ and the initial data φ in space dimensions n 2.
• how: Remark 1.11. i From the theorem in particular for nondecaying initial data the solution of blows up in finite time. ii For sign changing solutions Fujita type results are discussed . . .
  

   

  

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