Final Take Home
Deadline is June 20, 2014
Solve exactly 7 of 10 problems
1
Question 1
Let be a connected open subset in Rn and u W 1,p () for some 1 p . Suppose that Du = 0
a.e in . Then show that u is constant a.e in .
Question 2
Let F be a C 1 function
MODELLING SUPPLY NETWORKS WITH PARTIAL
DIFFERENTIAL EQUATIONS
C. DAPICE(1) , R. MANZO(1) , AND B. PICCOLI(2)
Abstract. A continuum-discrete model for supply chain networks is introduced. The model consists of a system of conservation laws: a conservation
PREFACE
This monograph presents an introductory study of of the properties of certain Banach spaces of weakly differentiable functions of several real variables that arise in
connection with numerous problems in the theory of partial differential equation
Solving Laplaces Equation With
MATLAB Using the Method of
Relaxation
By Matt Guthrie
Submitted on December 8th , 2010
Abstract
Programs were written which solve Laplaces equation for potential in a 100 by 100
grid using the method of relaxation. These pro
INTRODUCTION
In Fall 1992,the second author gave a course called intermediate P.D.E at the
Courant Institute.The purpose of that course was to present some basic methods for
obtaining various A Priori estimates for the second order partial differential eq