Partial differential equations/
Fritz John
- 4th ed.
- New York: Springer, 1982.
- x, 249 p. : ill. ; 25 cm.
- (Applied mathematical sciences), v. 1 .
The single first-order equation -- Second-order equations: hyperbolic equations for functions of two independent variables -- Characteristic manifolds and the Cauchy problem -- The Laplace equation -- Hyperbolic equations in higher dimensions -- Higher-order elliptic equations with constant coefficients -- Parabolic equations -- H. Lewy's example of a linear equation without solutions.