Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...
Taiwanese Journal of Mathematics, Vol. 14, No. 6 (December 2010), pp. 2365-2381 (17 pages) The main purpose of the paper is to prove the existence, uniqueness and smoothness with respect to time ...
The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...
Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.