On solution existence for a singular nonlinear Burgers equation with small parameter and \(p\)-regularity theory

DOI10.1134/s1064562423700916MaRDI QIDQ6148162

Beata Medak, Alexey A. Tret'yakov

Publication date: 11 January 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Burgers equationsingularitynonlinear boundary value problems\(p\)-factor operator\(p\)-regularity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Perturbations in context of PDEs (35B20) Semilinear parabolic equations (35K58)

Cites Work

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• Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem
• Continuous selections. II
• Nonlinear second order boundary value problems: Continuous dependence and periodic boundary conditions
• Higher-order implicit function theorems and degenerate nonlinear boundary-value problems
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• The method of gradient descent for minimizing non-convex functions
• Continuous dependence of the singular nonlinear Van der Pol equation solutions with respect to the boundary conditions: elements of \(p\)-regularity theory
• Application of \(p\)-regularity theory to nonlinear boundary value problems
• Application of \(p\)-regularity theory to the Duffing equation
• Continuous dependence for two-point boundary value problems
• Continuous dependence on parameters and boundary data for nonlinear two- point boundary value problems
• The implicit function theorem in degenerate problems

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