Singular perturbations of parabolic equations without boundary layers

DOI10.1080/00036811.2010.524295zbMath1252.35028OpenAlexW2013905617WikidataQ58176364 ScholiaQ58176364MaRDI QIDQ3096916

Denis R. Akhmetov, Renato Spigler, Mikhail M. jun. Lavrentiev

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.524295

zbMATH Keywords

survey paperultraparabolic equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fokker-Planck equations (35Q84)

Related Items (1)

The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

Cites Work

• Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data
• \(L^1\)-estimates for the higher-order derivatives of solutions to parabolic equations subject to initial values of bounded total variation
• Uniform and optimal estimates for solutions to singularly perturbed parabolic equations
• Singular perturbations of non-linear oscillations

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