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Symbol of a Differential Operator
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Geliefert zwischen Do., 22.01.2026 und Fr., 23.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the symbol of a linear differential operator associates to a differential operator a polynomial by, roughly speaking, replacing each partial derivative by a new variable. The symbol of a differential operator has broad applications to Fourier analysis. In particular, in this connection it leads to the notion of a pseudo-differential operator. The highest-order terms of the symbol, known as the principal symbol, almost completely controls the qualitative behavior of solutions of a partial differential equation. Linear elliptic partial differential equations can be characterized as those whose principal symbol is nowhere zero. In the study of hyperbolic and parabolic partial differential equations, zeros of the principal symbol correspond to the characteristics. Consequently, the symbol is often fundamental for the solution of such equations, and are one of the main computational devices used to study their singularities.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131307423
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131307423
- Format Fachbuch
- Titel Symbol of a Differential Operator
- Herausgeber Betascript Publishing
- Anzahl Seiten 88
- Genre Mathematik
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