The set of solutions for certain semilinear heat equations

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概要

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• We show that bounded solutions of an initial(-boundary) value problem for certain semilinear heat equations always come from the corresponding ordinary differential equations. As a consequence we immediately get a theorem of Knesers type which was showed by Ballotti and Kikuchi in different methods.

• 東北大学の論文

著者

• Nagasawa Takeyuki

  Mathematical Institute (kawauchi) Faculty Of Science Tohoku University

• Nagasawa Takeyuki

  Mathematical Institute (Kawauchi), Faculty of Science, Tohoku University

関連論文

• Blow-up solutions for ordinary differential equations associated to harmonic maps and their applications
• The set of solutions for certain semilinear heat equations
• Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps

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