In this chapter, the linear second-order partial differential equations are classified as elliptic, parabolic, and hyperbolic. The canonical forms of elliptic, parabolic, and hyperbolic second-order linear partial differential equations are given.

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Classifications and Canonical Forms for Linear Second-Order Partial Differential Equations

  • Svetlin G. Georgiev

摘要

In this chapter, the linear second-order partial differential equations are classified as elliptic, parabolic, and hyperbolic. The canonical forms of elliptic, parabolic, and hyperbolic second-order linear partial differential equations are given.