Jens Jonasson
Published 2007-03-07Version 1
A 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.
Multiplication for solutions of the equation $\grad{f} = M\grad{g}$
Existence of mild solutions for a system of partial differential equations with time-dependent generators
Applications of the L_2-Transform to Partial Differential Equations
![QR code for arXiv:math/0703195 [math.AP]](http://oss.arxitics.com/images/favicon.svg)