Elements of Partial Differential Equations /

Elements of Partial Differential Equations / / Pavel Drábek, Gabriela Holubová.

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This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular typ...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Drábek, Pavel,
Holubová, Gabriela,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2008]
©2007
Year of Publication:2008
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (245 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Mathematical Models, Conservation and Constitutive Laws
  • Classification, Types of Equations, Boundary and Initial Conditions
  • Linear Partial Differential Equations of the First Order
  • Wave Equation in One Spatial Variable–Cauchy Problem in R
  • Diffusion Equation in One Spatial Variable–Cauchy Problem in ℝ
  • Laplace and Poisson Equations in Two Dimensions
  • Solutions of Initial Boundary Value Problems for Evolution Equations
  • Solutions of Boundary Value Problems for Stationary Equations
  • Methods of Integral Transforms
  • General Principles
  • Laplace and Poisson equations in Higher Dimensions
  • Diffusion Equation in Higher Dimensions
  • Wave Equation in Higher Dimensions
  • Appendix
  • Some Typical Problems Considered in This Book
  • Notation
  • Bibliography
  • Index

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