Partial Differential Equations, Volumen1New York University [Institute of Mathematical Sciences], 1953 - 422 páginas |
Contenido
CHAFTER I | 6 |
The general first order equation for a function | 15 |
CHAFTER II | 48 |
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Términos y frases comunes
analytic function arbitrary boundary data boundary value problem Cauchy data Cauchy problem characteristic curves characteristic equations characteristic strips coefficients completes the proof consider const converge defined directional derivative Dirichlet problem domain dxdy easily verified existence follows formula fundamental solution given Green's function Green's identity harmonic function heat equation hence homogeneous equation initial conditions initial curve initial data initial manifold initial surface initial value problem integral equation integral surface Lemma LIBRARIES STANFORD UNIVERSITY neighborhood non-characteristic normal derivative obtain oquation order equation ordinary differential equations parameter family partial differential equation power series quantity quasi-linear Riemann function satisfy solve STANFORD UNIVERSITY LIBRARIES Suppose tangent theorem un+1 uniformly unique UNIVERSITY LIBRARIES STANFORD vanish wave equation whore X₁ әх