The study of controllability for parabolic and heat equations focuses on the capability to steer the temporal evolution of diffusion-dominated processes towards desired states. Central to this field ...
Parabolic equations, which include the classical heat equation, have long been a focal point in both theoretical and applied mathematics due to their inherent smoothing properties and relevance to ...
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 ...
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