On solutions of PDEs by using algebras

DOI10.1002/mma.8073zbMath1529.35009OpenAlexW4205515576MaRDI QIDQ6141516

Elifalet López-González

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8073

zbMATH Keywords

heat equationwave equationLaplace's equationmatrix exponential functiondifferentiation theory

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Other special methods applied to PDEs (35A25) Matrix exponential and similar functions of matrices (15A16)

Cites Work

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• On solving systems of autonomous ordinary differential equations by reduction to a variable of an algebra
• Monogenic functions in commutative algebras associated with classical equations of mathematical physics
• A panoramic sketch about the robust stability of time-delay systems and its applications
• On geodesibility of algebrizable planar vector fields
• Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
• From Generalized Cauchy-Riemann Equations to Linear Algebras
• The Theory of Analytic Functions in Normed Abelian Vector Rings
• A Theory of Analytic Functions in Banach Algebras

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