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Weakly Harmonic Function: Mathematics, Definition, Support (mathematics), Function (mathematics), Laplace Operator, Weak Derivative, Derivative, Weak Solution, Weak Formulation -

English
2026-03-22
€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. Weakly harmonic is actually equivalent to the seemingly stronger harmonic condition. In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives appearing in the equation may not all ex ... 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. Weakly harmonic is actually equivalent to the seemingly stronger harmonic condition. In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives appearing in the equation may not all exist but which is nonetheless deemed to satisfy the equation in some precisely defined sense. There are many different definitions of weak solution, appropriate for different classes of equations. One of the most important is based on the notion of distributions. Avoiding the language of distributions, one starts with a differential equation and rewrites it in such a way that no derivatives of the solution of the equation show up (the new form is called the weak formulation, and the solutions to it are called weak solutions). Somewhat surprisingly, a differential equation may have solutions which are not differentiable; and the weak formulation allows one to find such solutions.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786130336813
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€156.58 €195.73