Explicit L2 inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions
J. R. Kuttler1and V. G. Sigillito1
Received17 Feb 1977
Revised01 Nov 1977
Abstract
Explicit L2 inequalities are derived for second and third order diffusion equations with Neumann boundary conditions. Such inequalities are useful in approximating solutions to partial differential equations by the method of a priori inequalities.