Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls
DOI10.3934/dcds.2022075zbMath1518.35139arXiv2205.05153OpenAlexW4280641586MaRDI QIDQ6160086
Jesús Ildefonso Díaz, Gregorio Díaz, Unnamed Author, José Manuel Vegas
Publication date: 23 June 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.05153
large solutionssemilinear problemsglobal in time solutionsdelayed controlscontrolled explosionselliptic diffusion absorption equationsemilinear dynamics boundary conditions
Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Neutral functional-differential equations (34K40) Continuation and prolongation of solutions to PDEs (35B60) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
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