##  [Weak Solution (of a Partial Differential Equation)](/weak-solution-partial-differential-equation) 

  ##  [Weak Solution (of a Partial Differential Equation)](https://natural.quantumdictionary.io/weak-solution-partial-differential-equation-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A function that satisfies a partial differential equation in an integral or distributional sense against a prescribed class of test functions, allowing lower regularity than classical (pointwise differentiable) solutions; usually formulated in Sobolev or distribution spaces.