Parabolic partial differential equations (PDEs) play a pivotal role in modelling processes that involve diffusion and thermal dynamics. Over recent decades, the study of their controllability – the ...

This paper provides a number of working tools for the discussion of fully nonlinear parabolic equations. These include: a full proof that the maximum principle which provides L∞ estimates of "strong" ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Convergence of a subsequence of approximate solutions arising from a full discretization is shown for a general class of quasi-linear parabolic problems. The numerical method combines the backward ...