A Short Introduction to Partial Differential Equations

This book provides a short introduction to partial differential equations (PDEs). It is primarily addressed to graduate students and researchers, who are new to PDEs. The book offers a user-friendly approach to the analysis of PDEs, by combining elementary techniques and fundamental modern methods....

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Novruzi, Arian (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Painos:1st ed. 2023.
Sarja:CMS/CAIMS Books in Mathematics, 11
Aiheet:
Linkit:https://doi.org/10.1007/978-3-031-39524-6
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Sisällysluettelo:
  • 1 Notations and review
  • 2 Partial differential equations
  • 3 First order PDEs. Classical and weak solutions
  • 4 Second-order linear elliptic PDEs. maximum principle and classical solutions - 5 Distributions
  • 6 Sobolev spaces
  • 7 Second order linear elliptic PDEs. Weak solutions
  • 8 Second order parabolic and hyperbolic PDEs
  • 9 Annex.