# Linear partial differential equation

From Encyclopedia of Mathematics

An equation of the form

where is a linear function of real variables,

are non-negative integer indices, , , , and at least one of the derivatives

is non-zero.

For more details, see Differential equation, partial.

**How to Cite This Entry:**

Linear partial differential equation. A.B. Ivanov (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Linear_partial_differential_equation&oldid=15921

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098