Introduction to Partial Differential Equations

Ivan G. Avramidi
Additional contact information
Ivan G. Avramidi: New Mexico Tech, Department of Mathematics

Chapter Chapter 2 in Heat Kernel Method and its Applications, 2015, pp 43-84 from Springer

Abstract: Abstract In this chapter we present an introduction to some methods for the solution of partial differential equations. After a short review of the first-order equations we discuss the classification of second-order equations and introduce the fundamental tools such as the resolvent and the heat kernel. We also show how to solve exactly partial differential equations in some simple cases, such as equations with constant coefficients and homogeneous equations.

Keywords: Elliptic Equation; Boundary Operator; Heat Kernel; Spectral Curve; Volterra Series (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26266-6_2

Ordering information: This item can be ordered from
http://www.springer.com/9783319262666

DOI: 10.1007/978-3-319-26266-6_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().