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 ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 2 (2017), pp. 980-1001 (22 pages) This paper presents a numerical method for verifying the existence and local uniqueness of a solution for an ...

This is a preview. Log in through your library . Abstract We consider non-negative solutions of the heat equation with strong absorption, ∂tu − Δu = uƔχ{u>0} in (0, ∞) × Ω, where Ω is a smooth bounded ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Control theory for degenerate parabolic and wave equations has emerged as a vibrant field that combines deep theoretical insights with practical applications across physics and engineering. Such ...