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Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice
Norbert Ortner
€ 129.71
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Description for Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice
Hardback. Num Pages: 410 pages, 5 black & white illustrations, biography. BIC Classification: PBKF; PBKJ; PBKL. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 24. Weight in Grams: 777.
This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the ... Read more
This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Springer International Publishing AG
Condition
New
Number of Pages
398
Place of Publication
Cham, Switzerland
ISBN
9783319201399
SKU
V9783319201399
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice
The monograph is written in a concise style with rigorous proofs and precise reference to the corresponding literature ... . Any topic is motivated and explained by concrete applications to equations and systems coming from physics. ... In conclusion, the monograph of Ortner and Wagner is highly recommended to everyone interested in distribution theory and explicit formulas for elementary solutions. ... Read more