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Elliptic operator: Mathematics, Differential operator, Laplace operator, Smooth function, Heat equation, Potential theory, Schrödinger equation, Harmonic function -

English
2026-03-16
€156.58 €195.73

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex-valued functions, or some more general function-like objects. What is distinctive is that the coefficients of the highest-order derivatives satisfy a posit ... Full description

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex-valued functions, or some more general function-like objects. What is distinctive is that the coefficients of the highest-order derivatives satisfy a positivity condition. The usual partial differential equations involving time, such as the heat equation and the Schrödinger equation, also contain elliptic operators involving the spatial variables, as well as time derivatives. Elliptic operators are typical of potential theory. Their solutions (harmonic functions of a general kind) tend to be smooth functions (if the coefficients in the operator are continuous). More simply, steady-state solutions to hyperbolic and parabolic equations generally solve elliptic equations.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786130646776
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€156.58 €195.73