math display inline frac partial partial u leq math achieved specifying math u math math x math math alpha math math x b math math alpha math corresponds imposing boundary conditions inflow note well posedness allows growth terms data initial boundary thus sufficient show math display inline frac partial partial u leq math holds data set zero see also '''some common pdes''' heat equation wave equation laplace 's equation helmholtz equation klein gordon equation poisson 's equation navier stokes equation burger 's
Formal science Mathematics Pure mathematics Analysis Partial differential equations