Sergei Sobolev

Sergei Sobolev was a mathematician renowned for his work in analysis and partial differential equations. He developed a framework called Sobolev spaces, which are mathematical tools that allow us to study functions and their derivatives in a rigorous way, especially when those functions might be irregular or not smooth. This work is fundamental in modern physics and engineering, as it helps in understanding and solving complex problems involving heat, waves, and other phenomena described by differential equations. Sobolev's contributions significantly advanced mathematical analysis and its applications to the real world.