Kenneth Kuttler
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Some Courses
I've taught
Calculus and Analytic
Geometry
Introduction to
Ordinary Differential Equations
Vector Analysis
Matrix Analysis
Advanced Calculus
Point Set Topology
Real Analysis
Complex Analysis
Areas of
research
My primary area of research is Partial Differential Equations and Inclusions. I work on abstract methods for determining whether problems of this sort are well posed. Lately, I have been working on the mathematical theory of problems from contact mechanics including friction, wear, and damage.
Other
interests
I am usually interested in topics in analysis, especially measure and integration, functional analysis and such things.
A Vita
Here is a pdf file of a vita vita . .
Some
Publications
A Book, Basic Analysis Rinton Press
2001.
There are some things I have found in this book which would be better
changed. Here is a pdf file containing these pages errors
.
If you have trouble with the pdf file, here is a postscipt file of the
same
thing mistakes
.
A Book, Modern Analysis CRC press 1998.
There are some things I have found in this book which would be better
changed. Here is a pdf file containing these pages errors
. If you have
trouble with the pdf file, here is a postscipt file of the same thing mistakes
Quasi-Static Thermoviscoelastic Contact Problem with Slip Dependent
Friction Coefficient With A. Amassad, M. Rochdi and M. Shillor,
{Mathematical and Computer Modelling}, 36, (2002) pp. 839-854.
Dynamic Contact with Normal Compliance Wear and Discontinuous Friction
Coefficient. With Shillor. SIMA Vol. 34
#1 pp. 1-27, (2002).
J. Bajkowski, Fernandez, Kuttler, and M. Shillor, A
thermoviscoelastic beam model for brakes,'' European. Journal of
Applied Math. 15(2)(2004), 181-202
Existence for a thermoviscoelastic beam model of brakes, With
Shillor and Fernandez.
Nonlinear Analysis: 5 (2004) 857-880.
Analysis and Simulations of Vibrations of a Beam with a Slider with
Dumont and Shillor. Journal of Engineering Mathematics 47 61-82. (2003)
K. L. Kuttler, Meir Shillor and J. R. Fernandez, ``Existence for the
Thermoviscoelastic Thermistor Problem,''J. Diff. Eqn. Dyn. Systems, to
appear
K. L. Kuttler, Meir Shillor, Heat conduction with flux condition on a
free patch, Journal of Applied Math. and Optimization., 50(2)(2004),
143-159
Dynamic contact with Signorini's condition and slip rate dependent
friction, With Shillor.
Electron. J. Diff. Eqns., Vol. 2004(2004), No. 83, pp. 1-21.
Regularity of solutions for dynamic frictionless contact problems with
normal
compliance, with Shillor. To appear in Nonlinear Analysis as of Sept.
2004.
Quasistatic evolution of damage in an elastic-viscoplastic material, Electron. J. Diff. Eqns., Vol. 2005(2005), No. 147, pp. 1-25.
Dynamic frictional contact for elastic viscoplastic material, Electron. J. Diff. Eqns., Vol. 2007(2007), No. 75, pp. 1-20.
Lecture Notes And Books
Here is a pdf file of the latest version of my calculus book. calculus book
Here is a pdf file of the latest version of my book on topics on analysis.. It contains a review of advanced calculus and then discusses measure and integration, and complex analysis at a more advanced level than the other complex variable notes on this page.. It also includes the main theorems about Sobolev Spaces and interpolation theorems in Banach space as well as other abstract topics. I am still working on it.. Topics
Here is a pdf file of Notes for Math 214. This is a subset of the material in the calculus book consisting of multivariable calculus and a brief treatment of linear algebra.. Math 214 Notes
Here is a pdf file for a single variable advanced calculus book. It is mostly done. Single Variable Advanced Calculus
Here is a pdf file for a multvariable advanced calculus book. I am still working on it. Many Variable Advanced Calculus
Here is a pdf file for the latest version of a linear algebra book. linear algebra book
Here is a pdf file for a more elementary linear algebra book. This one presents everything for the first time in terms of the row reduced echelon form and emphasizes row operations. elementary linear algebra book
Here is a pdf for lecture notes for math 302 .Fall 2007 Math 302 lecture notes
Here is a pdf for lecture notes for math 113 .Fall 2006 Math 113 lecture notes
Here is a pdf for lecture notes for math 641 and 642 .Fall 2005, Winter 2006. These are a subset of the above Topics book. Math 641-642 Lecture Notes
Here is a pdf file of notes for math 547, Partial Differential Equations to be used in the Fall of 2003. You should click on the blue phrase "547 notes". Then save the pdf file in whatever folder you want. 547 notes
Here is a pdf file of notes on vector analysis for 547, Partial Differential Equations to be used in the Fall of 2003. You should click on the blue phrase "vector analysis". Then save the pdf file in whatever folder you want. vector analysis
Here is a pdf file for some lecture notes for Math 532, complex variables, to be used in the summer of 2001. You should click on the blue phrase "complex variable notes". Then save the pdf file in whatever folder you want. These notes have a more elementary flavor than those found in the above Topics book. complex variable notes
Here is a pdf file for notes for math 570, matrix analysis, to be used in Winter of 2001. These notes are somewhat different than the linear algebra book. . math 570 notes pdf
Here is a postscript file for notes for pde seminar based on book by Panagiotopolous and Naniewicz. notes postscript
Here is a postscript file for some recipes for importing eps files into Latex. notes postscript
Here is the Latex file for the above postscript file. notes postscript
Here is a pdf. file for a pattern for a gingerbread house. It is a Latex exercise using the picture environment. ginger bread house