Weak solution

In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives 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.

Weak solution - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical solution This article relies largely or entirely on a single source . Relevant discussion may be found on the talk page . Please help improve this article by introducing citations to additional sources . Find sources:   "Weak solution"  –  news   · newspapers   · books   · scholar   · JSTOR ( December 2022 ) For the game theory term, see Solved game . In mathematics , a weak solution (also called a generalized solution ) to an ordinary or partial differential equation

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• Janabel Xia

related reading

• theNotes.pdfweb.math.princeton.edu
• On Degenerate Partial Differential Equationsarxiv.org
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• A Lecture on Partial Differential Equationspeople.math.harvard.edu
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• ODEs: What are Differential Equations?web.uvic.ca
• MATHEMATICA TUTORIAL for the Fourth Course in Applied Differential Equationscfm.brown.edu
• A Feynman-Kac Approach for the Spatial Derivative of the Solution to the Wick Stochastic Heat Equation Driven by Time Homogeneous White Noisearxiv.org
• Stochastic Partial Differential Equations: Classical and Newmi.fu-berlin.de
• Density Dependent Singular Stochastic Differential Equationsarxiv.org