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Quasi-linear equation

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A partial differential equation (cf. Differential equation, partial) that is linear with respect to the leading derivatives of the unknown function. For example, the equation

is a second-order quasi-linear equation with respect to the unknown function .

Comments

References

[a1] H.M. Luberstein, "Theory of partial differential equations" , Acad. Press (1972) pp. 10; 12; 27
[a2] G.F. Carrier, C.E. Pearson, "Partial differential equations" , Acad. Press (1976) pp. Sect. 6.3; 89; 252
How to Cite This Entry:
Quasi-linear equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-linear_equation&oldid=32818