Nonlinear method of angular boundary functions in problems with cubic nonlinearities

DOI10.22405/2226-8383-2023-24-1-27-39OpenAlexW4381491227MaRDI QIDQ6194081

I. V. Denisov, Unnamed Author

Publication date: 14 February 2024

Published in: Chebyshevskii Sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb1280

zbMATH Keywords

asymptotic approximationboundary layersingularly perturbed equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Cites Work

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• Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with monotonic nonlinearity
• One singularly perturbed equation of parabolic type
• Corner boundary layer in boundary value problems with nonlinearities having stationary points
• Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonmonotonic nonlinearities
• Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonlinearities
• Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity
• Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with cubic nonlinearities
• Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region

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