Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki Constrained optimization problems governed by PDE models of grain boundary motions. (English) Zbl 07511754 Adv. Nonlinear Anal. 11, 1249-1286 (2022). MSC: 35K51 35K59 35Q93 49J20 49K20 74N05 PDF BibTeX XML Cite \textit{H. Antil} et al., Adv. Nonlinear Anal. 11, 1249--1286 (2022; Zbl 07511754) Full Text: DOI OpenURL
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. (English) Zbl 1483.35297 Math. Control Relat. Fields 11, No. 2, 253-289 (2021). MSC: 35Q93 35Q74 35B65 35K61 49J20 49J45 49K20 74N05 74N20 PDF BibTeX XML Cite \textit{H. Antil} et al., Math. Control Relat. Fields 11, No. 2, 253--289 (2021; Zbl 1483.35297) Full Text: DOI arXiv OpenURL
Shirakawa, Ken; Watanabe, Hiroshi Solvability for the non-isothermal Kobayashi-Warren-Carter system. (English) Zbl 1427.35150 AIMS Math. 2, No. 1, 161-194 (2017). MSC: 35K87 35R06 35K67 35A01 PDF BibTeX XML Cite \textit{K. Shirakawa} and \textit{H. Watanabe}, AIMS Math. 2, No. 1, 161--194 (2017; Zbl 1427.35150) Full Text: DOI OpenURL
Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki Weak solutions of grain boundary motion model with singularity. (English) Zbl 1183.35159 Rend. Mat. Appl., VII. Ser. 29, No. 1, 51-63 (2009). MSC: 35K51 35R35 35D30 35K59 35K67 PDF BibTeX XML Cite \textit{A. Ito} et al., Rend. Mat. Appl., VII. Ser. 29, No. 1, 51--63 (2009; Zbl 1183.35159) OpenURL