A sublinear version of the Schur test and weighted norm inequalities /
Abstract
In this dissertation, we provide results which characterize when a class of partial differential equations can be solved. These partial differential equations arise in the study of the Porous Media Equation, which can model nonlinear heat transfer, groundwater flow, and population dynamics. The results show that a certain inequality can be established if and only if solutions to the differential equation exist. This contributes to the body of knowledge of nonlinear partial differential equations.
Degree
Ph. D.
Thesis Department
Rights
OpenAccess.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.