Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

This is a preview. Log in through your library . Abstract The nonlinear second order differential equation satisfied by the homogeneous function y = [ aum + mbujv n + cvm ]k/m, m = j + n, is obtained.

The minimal positive solutions of the heat equation on X × (-∞, T) are determined for X a homogeneous Riemannian space. A simple proof of uniqueness for the positive Cauchy problem on a homogeneous ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...