L ∞ stability of an exponentially decreasing solution of the problem Δu+f(x, u)=0 inR n

DOI10.1007/BF03167040zbMath0594.35053MaRDI QIDQ3724814

Hiroshi Matano

Publication date: 1985

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison principleevolution equationequilibrium equationsemilinear diffusion equationstable solutionstrict subsolutionstrict supersolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

• On the Harnack inequality for linear elliptic equations
• Pattern formation in competition-diffusion systems in nonconvex domains
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Nonlinear diffusion in population genetics
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
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