Multiplication of solutions for linear overdetermined systems of partial differential equations

Simple item page
dc.creatorJonasson, Jens
dc.date2007-03-07
dc.date.accessioned2026-07-07T09:27:25Z
dc.date.available2026-07-07T09:27:25Z
dc.descriptionA large family of linear, usually overdetermined, systems of partial differential equations that admit a multiplication of solutions, i.e, a bi-linear and commutative mapping on the solution space, is studied. This family of PDE's contains the Cauchy-Riemann equations and the cofactor pair systems, included as special cases. The multiplication provides a method for generating, in a pure algebraic way, large classes of non-trivial solutions that can be constructed by forming convergent power series of trivial solutions.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0703195
dc.identifierhttp://arxiv.org/abs/math/0703195
dc.identifierdoi:10.1016/j.geomphys.2008.03.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157093
dc.subjectAnalysis of PDEs
dc.subject35F05; 35N10; 58J99
dc.titleMultiplication of solutions for linear overdetermined systems of partial differential equations
dc.typetext

Files

Collections

arXiv