The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs

DOI10.1155/2009/120213zbMath1225.46054OpenAlexW2104938386WikidataQ58646955 ScholiaQ58646955MaRDI QIDQ606085

Reinhard Starkl

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230580

zbMATH Keywords

nonlinear partial differential equationsembedding problemsnonstandard algebraical structures

Mathematics Subject Classification ID

Nonstandard functional analysis (46S20) Applications of functional analysis to differential and integral equations (46N20) General first-order partial differential equations and systems of first-order partial differential equations (35F99) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99) Generalized function theory (30G99)

Cites Work

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• On the immersion of a discrete-time polynomial analytic system into a polynomial affine one
• Simplifying the form of Lie groups admitted by a given differential equation
• Nonlinear control systems.
• Symmetry and integration methods for differential equations
• New explicit solutions of Einstein equations in the framework of GAP Theory
• A new type of gauge invariance for a collection of massless spin-2 fields. I. Existence and uniqueness
• A new type of gauge invariance for a collection of massless spin-2 fields. II. Geometrical interpretation
• Integrating factors and first integrals for ordinary differential equations
• Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Applications of the general similarity solution of the heat equation to boundary-value problems
• Erratum: New classes of symmetries for partial differential equations [J. Math. Phys. 2 9, 806 (1988)]
• Partial regularity of suitable weak solutions of the navier-stokes equations
• On multi-graviton and multi-gravitino gauge theories
• Derivation of conservation laws from nonlocal symmetries of differential equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Symmetries and differential equations

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