Etracker Debug:
	et_pagename = "Linear and Semilinear Partial Differential Equations|9783110269055|P|[EN]"
	
        
Jump to ContentJump to Main Navigation

Paperback

49,95 € / $70.00*

* Prices subject to change. Shipping costs will be added if applicable.
Publication Date:
November 2012
ISBN:
978-3-11-026904-8

See all formats and pricing

eBook (PDF)
RRP
€ [D] 749.00
RRP for USA, Canada, Mexico
US$ 1049.00 *
Paperback
RRP
€ [D] 49.95
RRP for USA, Canada, Mexico
US$ 70.00 *
*Prices subject to change. Shipping costs will be added if applicable.

Precup, Radu

Linear and Semilinear Partial Differential Equations

An Introduction

Series:De Gruyter Textbook

    • Organizes the subject on three levels: classical, modern and semi-linear theory
    • Clearly explains the transition from classical to generalized solutions
    • Introduces, in the beginning, the Sobolev spaces as completions of spaces of continuously differentiable functions with respect to energetic norms
    • Presents the solution operators associated to non-homogeneous equations and anticipates the operator method for nonlinear problems
    • Covers most of the main topics usually studied in standard courses
    • Provides a rigorous theoretical treatment by organizing the material around theorems and proofs
    • Includes numerous exercises and problems to assimilate and extend the theory
    • Provides a solid base for further study and inspiration for future research in the field
    • Provides material for three one-semester courses: a beginner, an advanced and a master course

    Aims and Scope

    The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs. Organized on three parts, the book guides the reader from fundamental classical results, to some aspects of the modern theory and furthermore, to some techniques of nonlinear analysis. Compared to other introductory books in PDEs, this work clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions with respect to energetic norms. Also, special attention is paid to the investigation of the solution operators associated to elliptic, parabolic and hyperbolic non-homogeneous equations anticipating the operator approach of nonlinear boundary value problems. Thus the reader is made to understand the role of linear theory for the analysis of nonlinear problems.

    Supplementary Information

    24 x 17 cm
    xiv, 282 pages
    Language:
    English
    Type of Publication:
    Textbook
    Keywords:
    Partial Differential Equation; Elliptic Equation; Heat Equation; Wave Equation; Sobolev Space

    MARC record

    MARC record for print book

    Radu Precup, Babeş-Bolyai University of Cluj-Napoca, Romania.

    Please log in or register to comment.
    Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.