 ##  [Fundamental Solution](/index.php/fundamental-solution) 

  ##  [Fundamental Solution](https://mathlogic.quantumdictionary.io/fundamental-solution-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A distributional or generalized solution E(x, ·) of a linear partial differential operator L such that L E = δ (a Dirac delta), representing the response of the operator to a point source and serving as a kernel for constructing particular solutions by convolution or integral operators.