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- Symbol_of_a_differential_operator abstract "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 of the partial differential equation. Consequently, the symbol is often fundamental for the solution of such equations, and is one of the main computational devices used to study their singularities.".
- Symbol_of_a_differential_operator wikiPageID "10639143".
- Symbol_of_a_differential_operator wikiPageRevisionID "599229505".
- Symbol_of_a_differential_operator hasPhotoCollection Symbol_of_a_differential_operator.
- Symbol_of_a_differential_operator subject Category:Differential_operators.
- Symbol_of_a_differential_operator subject Category:Vector_bundles.
- Symbol_of_a_differential_operator type Abstraction100002137.
- Symbol_of_a_differential_operator type Collection107951464.
- Symbol_of_a_differential_operator type DifferentialOperators.
- Symbol_of_a_differential_operator type Function113783816.
- Symbol_of_a_differential_operator type Group100031264.
- Symbol_of_a_differential_operator type MathematicalRelation113783581.
- Symbol_of_a_differential_operator type Operator113786413.
- Symbol_of_a_differential_operator type Package108008017.
- Symbol_of_a_differential_operator type Relation100031921.
- Symbol_of_a_differential_operator type VectorBundles.
- Symbol_of_a_differential_operator comment "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.".
- Symbol_of_a_differential_operator label "Symbol of a differential operator".
- Symbol_of_a_differential_operator label "微分作用素の表象".
- Symbol_of_a_differential_operator sameAs 微分作用素の表象.
- Symbol_of_a_differential_operator sameAs 주표상.
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- Symbol_of_a_differential_operator sameAs Symbol_of_a_differential_operator.
- Symbol_of_a_differential_operator wasDerivedFrom Symbol_of_a_differential_operator?oldid=599229505.
- Symbol_of_a_differential_operator isPrimaryTopicOf Symbol_of_a_differential_operator.