Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

Boundary value problems (BVPs) lie at the heart of mathematical analysis and have wide-ranging applications across physics, engineering and other scientific disciplines. At their core, these problems ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...