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I am interested in knowing whether there is a definition for the symbol of a PDO which is NOT linear. In Wikipedia and in the book I am reading (An Introduction to Partial Differential Equations by Renardy-Rogers) I only found the definition for linear PDOs.

Here is the Wikipedia link:

http://en.wikipedia.org/wiki/Symbol_of_a_differential_operator

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    Look like strange to me.... what do you mean by definition of symbol.... If i am denoting velocity by $v$, then what does mean by definition of $v$...2012-02-28
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    @Pradip: The word "symbol" has a special meaning in this context.2012-02-28

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