Long Dong Silver Fotos Pau

Partial Differential Equations Seminar II

AREA SCIENCE:

APPLIED MATHEMATICS

Workshop:

Partial Differential Equations and Applications

RE-Start: 20 May 2009 nde: Wednesday: 9:00 am

Local: Conf Room, Department of Mathematics, UNT

OBJECTIVES: is an introductory course on partial differential equations and their applications to be developed in a sustained and thoughtful, determining additional requirements in order to understand analytical qualitative and quantitative concepts, basic training is required but not compulsory for ordinary differential equations and some elementary notions of partial differential equations, such as the method of characteristics and separation of variables. Here we introduce the techniques of real and functional analysis and operator theory to obtain results more ambitious the existence of solutions and compare them with conventional techniques.

METHODOLOGY: The course will be based on the statement of the issues by participating teachers. An important aspect will correspond to the problems of implementation as an exercise is proposed, which constitute in many cases, complement the exhibition and a rating tool.

PROGRAM:

has been programmed in detail the issues listed below: (the brackets indicate the author of the book is used and then mentions the responsible for the exhibition

1. Basics and linear equations ( Fritz) --- Luis Lara
2. Quasi Linear Equations (Fritz) --- Ronald Leon
3. Cauchy Problem for Quasilineales Ec (Fritz) Second Gibbar
4. General Equation for EDP in 2 variables ( Fritz) Daniel Artega
5. EDP geometric interpretation of the 1st Order ( Debnath ) - Franco Rubio
6. Method Solution of the Features and General (Debnath ) July perlata - Willy Zubiaga
Application Examples
7. Equation of Hamilton - Jacobi - Franco Rubio
8. Coservacion laws, shock waves --- Hernán Cuti
9. Riemann problems --- Obidos Rubio
10. Gilberto ------ General Solutions Alva
II EDP
2nd order

1. Classification (Parab., Elipa., Hyperbaric.)
2.
Linear Equation 3. Onda
equation 4. Cauchy problem
5. Cauchy's theorem - Kovaleski (existence)
6. Holmgren theorem (Oneness)


Laplace and Poisson Equation
0. Introduction to distributions
1. Fundamental solution
2. Green function
3. Dirichlet problem
4. Harmonic Functions
5. Subharmonic functions
6. Maximo Prinicpio weak
7. Maximo Prncipio Fort
8,9,10. Dirichlet problem
Perron Method .- 11 Methods functional - Sobolev spaces

issues have not assigned responsibility for coordinating this please