Lectures on Elliptic and Parabolic Equations in Holder Spaces

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $27.94
Usually ships in 1-2 business days
(Save 26%)
Other sellers (Hardcover)
  • All (5) from $27.94   
  • New (2) from $27.94   
  • Used (3) from $48.89   


These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. Krylov shows that this theory—including some issues of the theory of nonlinear equations—is based on some general and extremely powerful ideas and some simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, with nearly 200 exercises, will provide a good understanding of what kinds of results are available and what kinds of techniques are used to obtain them.

Read More Show Less

Editorial Reviews

Describes the fundamentals of the title theory, for graduate students and researchers in mathematics, physics, and engineering. The main focus is on first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative. Also discusses numerical approximations. Includes nearly 200 exercises. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

  • ISBN-13: 9780821805695
  • Publisher: American Mathematical Society
  • Publication date: 9/1/1996
  • Series: Graduate Studies in Mathematics Series, #12
  • Pages: 164
  • Sales rank: 1,142,662
  • Product dimensions: 7.20 (w) x 10.20 (h) x 0.60 (d)

Table of Contents

Ch. 1 Elliptic Equations with Constant Coefficients in R[superscript d] 1
Ch. 2 Laplace's Equation 15
Ch. 3 Solvability of Elliptic Equations with Constant Coefficients in the Holder Spaces 33
Ch. 4 Elliptic Equations with Variable Coefficients in R[superscript d] 51
Ch. 5 Second-Order Elliptic Equations in Half Spaces 65
Ch. 6 Second-Order Elliptic Equations in Smooth Domains 77
Ch. 7 Elliptic Equations in Non-Smooth Domains 91
Ch. 8 Parabolic Equations in the Whole Space 105
Ch. 9 Boundary-Value Problems for Parabolic Equations in Half Spaces 137
Ch. 10 Parabolic Equations in Domains 147
Bibliography 161
Index 163
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)