Quasi-linear equation
From Encyclopedia of Mathematics
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=18823
Quasi-linear equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-linear_equation&oldid=18823