On a comparison theorem for parabolic equations with nonlinear boundary conditions

DOI DOI Web Site Web Site 10 References Open Access
  • Kosuke Kita
    Graduate School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo Shinjuku-ku , Tokyo , 169-8555 , Japan
  • Mitsuharu Ôtani
    Department of Applied Physics, School of Science and Engineering, Waseda University, 3-4-1 Okubo Shinjuku-ku , Tokyo , 169-8555 , Japan

Search this article

Description

<jats:title>Abstract</jats:title> <jats:p>In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary condition. The advantage of our comparison theorem over the classical ones lies in the fact that it enables us to compare two solutions satisfying different types of boundary conditions. As an application of our comparison theorem, we can give some new results on the existence of blow-up solutions of some parabolic equations and systems with nonlinear boundary conditions.</jats:p>

Journal

References(10)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top