Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. Sign-changing solutions of the nonlinear heat equation with persistent singularities. (English) Zbl 1459.35249 ESAIM, Control Optim. Calc. Var. 26, Paper No. 126, 35 p. (2020). MSC: 35K58 35K15 35C06 35K67 35A01 35A21 PDFBibTeX XMLCite \textit{T. Cazenave} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 126, 35 p. (2020; Zbl 1459.35249) Full Text: DOI arXiv
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. (English) Zbl 1458.35103 Am. J. Math. 142, No. 5, 1439-1495 (2020). MSC: 35C06 35K58 35K15 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Am. J. Math. 142, No. 5, 1439--1495 (2020; Zbl 1458.35103) Full Text: DOI arXiv
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. (English) Zbl 1377.35046 Nagoya Math. J. 226, 44-70 (2017). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 35B65 35B33 35K91 35Q55 35Q56 35K15 35K58 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Nagoya Math. J. 226, 44--70 (2017; Zbl 1377.35046) Full Text: DOI arXiv
Dickstein, Flávio; Pacella, Filomena; Sciunzi, Berardino Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two. (English) Zbl 1302.35215 J. Evol. Equ. 14, No. 3, 617-633 (2014). MSC: 35K58 35B35 35B44 35B40 35K20 PDFBibTeX XMLCite \textit{F. Dickstein} et al., J. Evol. Equ. 14, No. 3, 617--633 (2014; Zbl 1302.35215) Full Text: DOI arXiv
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred Transversality of stable and Nehari manifolds for a semilinear heat equation. (English) Zbl 1233.35045 Calc. Var. Partial Differ. Equ. 42, No. 3-4, 547-562 (2011). Reviewer: Pavol Quittner (Bratislava) MSC: 35B44 35A15 35B35 35K58 35K20 PDFBibTeX XMLCite \textit{F. Dickstein} et al., Calc. Var. Partial Differ. Equ. 42, No. 3--4, 547--562 (2011; Zbl 1233.35045) Full Text: DOI
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. Spectral properties of stationary solutions of the nonlinear heat equation. (English) Zbl 1211.35151 Publ. Mat., Barc. 55, No. 1, 185-200 (2011). MSC: 35K58 35B35 35J60 35K20 35B44 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Publ. Mat., Barc. 55, No. 1, 185--200 (2011; Zbl 1211.35151) Full Text: DOI
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. On the structure of global solutions of the nonlinear heat equation in a ball. (English) Zbl 1183.35171 J. Math. Anal. Appl. 360, No. 2, 537-547 (2009). MSC: 35K58 35K20 35B33 PDFBibTeX XMLCite \textit{T. Cazenave} et al., J. Math. Anal. Appl. 360, No. 2, 537--547 (2009; Zbl 1183.35171) Full Text: DOI
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. Global existence and blowup for sign-changing solutions of the nonlinear heat equation. (English) Zbl 1176.35010 J. Differ. Equations 246, No. 7, 2669-2680 (2009). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35B05 35K55 35B35 35K57 35K15 PDFBibTeX XMLCite \textit{T. Cazenave} et al., J. Differ. Equations 246, No. 7, 2669--2680 (2009; Zbl 1176.35010) Full Text: DOI
Dickstein, Flávio; Loayza, Miguel Life span of solutions of a strongly coupled parabolic system. (English) Zbl 1157.35397 Mat. Contemp. 32, 85-106 (2007). MSC: 35K45 35B45 35K57 35B05 35B40 35K55 PDFBibTeX XMLCite \textit{F. Dickstein} and \textit{M. Loayza}, Mat. Contemp. 32, 85--106 (2007; Zbl 1157.35397)