Spatial concavity of solutions to parabolic systems

• Kazuhiro Ishige ^[2] ; Kazushige Nakagawa ^[1] ; Paolo Salani ^[3]
  1. [1] Fukushima University

     Fukushima University

     Japón

     
  2. [2] Graduate School of Mathematical Science, Japan
  3. [3] Università di Firenze, Italia

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 20, Nº 1, 2020, págs. 291-313
• Idioma: inglés
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• Resumen

  • We investigate spatial log-concavity and spatial power concavity of solutions to parabolic systems with log-concave or power concave initial data in convex domains.