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A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

Huilin Xu, Fanli Xu, Baoxia Wang • Axioms (2026)

This paper addresses the Cauchy problem for the multi-dimensional modified Helmholtz equation, a classical and severely ill-posed problem. A truncated-kernel mollification method is proposed as an effective regularization approach. Both the...

DOAJ Open Access (DOAJ) DOI: 10.3390/axioms15080593

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Optimal Control of Distributed Systems. Theory and Applications

A. V. Fursikov • Translations of mathematical monographs (1999)

The existence of solutions to optimal control problems Optimality system for optimal control problems The solvability of boundary value problems for a dense set of data The problem of work minimization in accelerating still fluid to a presc...

OPENALEX DOI: https://doi.org/10.1090/mmono/187

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