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- Weak_solution abstract "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. 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. Weak solutions are important because a great many differential equations encountered in modelling real world phenomena do not admit sufficiently smooth solutions and then the only way of solving such equations is using the weak formulation. Even in situations where an equation does have differentiable solutions, it is often convenient to first prove the existence of weak solutions and only later show that those solutions are in fact smooth enough.".
- Weak_solution wikiPageID "3555416".
- Weak_solution wikiPageRevisionID "579873239".
- Weak_solution hasPhotoCollection Weak_solution.
- Weak_solution subject Category:Differential_equations.
- Weak_solution subject Category:Generalized_functions.
- Weak_solution type Abstraction100002137.
- Weak_solution type Communication100033020.
- Weak_solution type DifferentialEquation106670521.
- Weak_solution type DifferentialEquations.
- Weak_solution type Equation106669864.
- Weak_solution type Function113783816.
- Weak_solution type GeneralizedFunctions.
- Weak_solution type MathematicalRelation113783581.
- Weak_solution type MathematicalStatement106732169.
- Weak_solution type Message106598915.
- Weak_solution type Relation100031921.
- Weak_solution type Statement106722453.
- Weak_solution type Agent.
- Weak_solution type Agent.
- Weak_solution type Thing.
- Weak_solution comment "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 label "Solución débil".
- Weak_solution label "Weak solution".
- Weak_solution label "弱解".
- Weak_solution label "弱解".
- Weak_solution sameAs Solución_débil.
- Weak_solution sameAs 弱解.
- Weak_solution sameAs m.09l8bm.
- Weak_solution sameAs Q7977966.
- Weak_solution sameAs Q7977966.
- Weak_solution sameAs Weak_solution.
- Weak_solution wasDerivedFrom Weak_solution?oldid=579873239.
- Weak_solution isPrimaryTopicOf Weak_solution.