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Volume 8, Issue 3
Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Mingxin Wang

J. Part. Diff. Eq., 8 (1995), pp. 273-280.

Published online: 1995-08

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  • Abstract
This paper deals with the following semilinear parabolic equations with nonlinear boundary conditions u_t - Δu = f(u) - λu,x ∈ Ω, t > 0 \frac{∂u}{∂n} = g(u), \qquad x ∈ ∂Ω, t > 0 It is proved that every positive equilibrium solution is a threshold.
  • Keywords

Nonlinear boundary conditions threshold results upper and lower solutions

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mxwang@seu.edu.cn (Mingxin Wang)

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@Article{JPDE-8-273, author = {Wang , Mingxin}, title = {Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {3}, pages = {273--280}, abstract = { This paper deals with the following semilinear parabolic equations with nonlinear boundary conditions u_t - Δu = f(u) - λu,x ∈ Ω, t > 0 \frac{∂u}{∂n} = g(u), \qquad x ∈ ∂Ω, t > 0 It is proved that every positive equilibrium solution is a threshold.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5659.html} }
TY - JOUR T1 - Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions AU - Wang , Mingxin JO - Journal of Partial Differential Equations VL - 3 SP - 273 EP - 280 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5659.html KW - Nonlinear boundary conditions KW - threshold results KW - upper and lower solutions AB - This paper deals with the following semilinear parabolic equations with nonlinear boundary conditions u_t - Δu = f(u) - λu,x ∈ Ω, t > 0 \frac{∂u}{∂n} = g(u), \qquad x ∈ ∂Ω, t > 0 It is proved that every positive equilibrium solution is a threshold.
Wang , Mingxin. (1995). Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions. Journal of Partial Differential Equations. 8 (3). 273-280. doi:
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