Maximum Principles in Differential EquationsSpringer Science & Business Media, 6 dic 2012 - 261 páginas Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications. |
Otras ediciones - Ver todo
Maximum Principles in Differential Equations Murray H. Protter,Hans F. Weinberger Vista de fragmentos - 1967 |
Maximum Principles in Differential Equations Murray H. Protter,Hans F. Weinberger Vista de fragmentos - 1967 |
Maximum Principles in Differential Equations Murray H. Protter,Hans F. Weinberger No hay ninguna vista previa disponible - 1984 |
Términos y frases comunes
admissible domain apply Theorem assume boundary conditions boundary value problem bounded domain characteristic coefficients conclude coordinates D₁ define denote differential equations differential inequality disk dx dt eigenvalue elliptic equations elliptic operators example F₁ Find upper function w(x given grad Green's function harmonic function Harnack inequality heat equation Hence holds hyperbolic hyperbolic operator hypothesis initial value problem interior point interval K₁ L₁ Laplace Laplace operator Lemma lower bounds maximum principle nonnegative maximum obtain positive function R₁ radius result satisfies the inequalities Section Serrin solution subharmonic function subinterval Suppose t₁ Theorem 11 tion u₁ unbounded uniformly elliptic uniqueness theorem upper and lower v₁ vanishes x₁ z₁ z₁(x zero Γ₁ Γ₂ θν θυ ди ди ду дх