International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 1, Pages 21-30
doi:10.1155/S0161171278000034

Explicit L2 inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions

J.R. Kuttler and V.G. Sigillito

Applled Physics Laboratory, The Johns Hopkins University, Laurel 20810, Maryland, USA

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.