Function spaces provide the abstract settings in which differential equations are formulated, analysed and solved. At their heart lies the concept of measuring both the size and smoothness of ...

Elliptic and parabolic partial differential equations form the mathematical backbone of phenomena ranging from steady-state heat conduction and electrostatics to time-dependent diffusion and fluid ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...