Kagaya, Takashi; Liu, Qing; Mitake, Hiroyoshi Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations. (English) Zbl 1505.35090 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 13, 28 p. (2023). MSC: 35D40 35B51 35K15 52A01 PDFBibTeX XMLCite \textit{T. Kagaya} et al., NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 13, 28 p. (2023; Zbl 1505.35090) Full Text: DOI arXiv
O’Hara, Jun; Sakata, Shigehiro Strict power concavity of a convolution. (English) Zbl 1512.26010 Ann. Mat. Pura Appl. (4) 201, No. 4, 1553-1575 (2022). MSC: 26B25 26D15 52A40 52A41 90C25 PDFBibTeX XMLCite \textit{J. O'Hara} and \textit{S. Sakata}, Ann. Mat. Pura Appl. (4) 201, No. 4, 1553--1575 (2022; Zbl 1512.26010) Full Text: DOI arXiv
Sun, Fanrong; Xu, Lu A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations. (English) Zbl 1483.35095 J. Differ. Equations 317, 685-705 (2022). MSC: 35J60 35E10 PDFBibTeX XMLCite \textit{F. Sun} and \textit{L. Xu}, J. Differ. Equations 317, 685--705 (2022; Zbl 1483.35095) Full Text: DOI
Chau, Albert; Weinkove, Ben Strong space-time convexity and the heat equation. (English) Zbl 1475.35173 Indiana Univ. Math. J. 70, No. 4, 1189-1210 (2021). MSC: 35K05 35K20 35B50 PDFBibTeX XMLCite \textit{A. Chau} and \textit{B. Weinkove}, Indiana Univ. Math. J. 70, No. 4, 1189--1210 (2021; Zbl 1475.35173) Full Text: DOI arXiv
Chau, Albert; Weinkove, Ben The Stefan problem and concavity. (English) Zbl 1473.80009 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 176, 13 p. (2021). MSC: 80A22 35B99 35K05 35R35 PDFBibTeX XMLCite \textit{A. Chau} and \textit{B. Weinkove}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 176, 13 p. (2021; Zbl 1473.80009) Full Text: DOI arXiv
Ishige, Kazuhiro; Liu, Qing; Salani, Paolo Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations. (English. French summary) Zbl 1445.35116 J. Math. Pures Appl. (9) 141, 342-370 (2020). MSC: 35D40 35K20 52A01 PDFBibTeX XMLCite \textit{K. Ishige} et al., J. Math. Pures Appl. (9) 141, 342--370 (2020; Zbl 1445.35116) Full Text: DOI arXiv Link
Chen, Chuanqiang; Ma, Xinan; Salani, Paolo On space-time quasiconcave solutions of the heat equation. (English) Zbl 1442.35002 Memoirs of the American Mathematical Society 1244. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3524-0/pbk; 978-1-4704-5243-8/ebook). v, 81 p. (2019). MSC: 35-02 35K05 35B05 35K20 PDFBibTeX XMLCite \textit{C. Chen} et al., On space-time quasiconcave solutions of the heat equation. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.35002) Full Text: DOI arXiv
Chen, Chuanqiang On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions. (English) Zbl 1358.35054 Discrete Contin. Dyn. Syst. 36, No. 9, 4761-4811 (2016). Reviewer: Mariana Vega Smit (Essen) MSC: 35K55 35K10 35B99 PDFBibTeX XMLCite \textit{C. Chen}, Discrete Contin. Dyn. Syst. 36, No. 9, 4761--4811 (2016; Zbl 1358.35054) Full Text: DOI arXiv
Ishige, Kazuhiro; Nakagawa, Kazushige; Salani, Paolo Power concavity in weakly coupled elliptic and parabolic systems. (English) Zbl 1332.35014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 81-97 (2016). MSC: 35B05 35K51 35D40 35J57 35K58 PDFBibTeX XMLCite \textit{K. Ishige} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 81--97 (2016; Zbl 1332.35014) Full Text: DOI
Ishige, Kazuhiro; Salani, Paolo Parabolic Minkowski convolutions of solutions to parabolic boundary value problems. (English) Zbl 1386.35223 Adv. Math. 287, 640-673 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K59 35K20 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{P. Salani}, Adv. Math. 287, 640--673 (2016; Zbl 1386.35223) Full Text: DOI
Ishige, Kazuhiro; Salani, Paolo Parabolic power concavity and parabolic boundary value problems. (English) Zbl 1325.35071 Math. Ann. 358, No. 3-4, 1091-1117 (2014). Reviewer: Antonio Greco (Cagliari) MSC: 35K05 52A01 35B30 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{P. Salani}, Math. Ann. 358, No. 3--4, 1091--1117 (2014; Zbl 1325.35071) Full Text: DOI arXiv
Andreucci, Daniele; Ishige, Kazuhiro Local quasi-concavity of the solutions of the heat equation with a nonnegative potential. (English) Zbl 1272.35112 Ann. Mat. Pura Appl. (4) 192, No. 3, 329-348 (2013). MSC: 35K15 35B40 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{K. Ishige}, Ann. Mat. Pura Appl. (4) 192, No. 3, 329--348 (2013; Zbl 1272.35112) Full Text: DOI
Hu, Bowen; Ma, Xinan A constant rank theorem for spacetime convex solutions of heat equation. (English) Zbl 1242.35128 Manuscr. Math. 138, No. 1-2, 89-118 (2012). MSC: 35K05 35B05 35K58 PDFBibTeX XMLCite \textit{B. Hu} and \textit{X. Ma}, Manuscr. Math. 138, No. 1--2, 89--118 (2012; Zbl 1242.35128) Full Text: DOI
Chen, Chuanqiang; Shi, Shujun Curvature estimates for the level sets of spatial quasiconcave solutions to a class of parabolic equations. (English) Zbl 1384.35006 Sci. China, Math. 54, No. 10, 2063-2080 (2011). MSC: 35B05 35K55 PDFBibTeX XMLCite \textit{C. Chen} and \textit{S. Shi}, Sci. China, Math. 54, No. 10, 2063--2080 (2011; Zbl 1384.35006) Full Text: DOI arXiv