Gauss-Schwarz Theorem

The Gauss–Schwarz theorem in mathematics states that for certain types of differential equations with specific boundary conditions, solutions can be found using integral formulas involving Green’s functions. Essentially, it provides a way to solve complex boundary value problems (like heat distribution or electrostatics) by expressing the solution as an integral that accounts for the influence of points within the domain. This approach transforms a differential problem into an integral one, making it easier to analyze and compute solutions systematically, especially in fields such as physics and engineering.