Wu, Jia-Yong Sharp Gaussian upper bounds for Schrödinger heat kernel on gradient shrinking Ricci solitons. (English) Zbl 1525.35162 Manuscr. Math. 172, No. 3-4, 1109-1132 (2023). MSC: 35K08 35J10 35P15 53C21 58J50 PDFBibTeX XMLCite \textit{J.-Y. Wu}, Manuscr. Math. 172, No. 3--4, 1109--1132 (2023; Zbl 1525.35162) Full Text: DOI arXiv
Cao, Jun; Liu, Yu; Yang, Dachun; Zhang, Chao Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes. (English) Zbl 1521.35098 J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136-2192 (2022). MSC: 35K08 35B45 35J10 35J30 47G40 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136--2192 (2022; Zbl 1521.35098) Full Text: DOI arXiv
White, Francis \( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators. (English) Zbl 07722572 J. Spectr. Theory 12, No. 4, 1295-1315 (2022). MSC: 47D06 35Q40 35S30 47D08 PDFBibTeX XMLCite \textit{F. White}, J. Spectr. Theory 12, No. 4, 1295--1315 (2022; Zbl 07722572) Full Text: DOI arXiv
Ishige, Kazuhiro; Tateishi, Yujiro Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. (English) Zbl 1491.35041 J. Evol. Equ. 22, No. 1, Paper No. 16, 33 p. (2022). MSC: 35B40 35J10 47D06 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{Y. Tateishi}, J. Evol. Equ. 22, No. 1, Paper No. 16, 33 p. (2022; Zbl 1491.35041) Full Text: DOI arXiv
Ishige, Kazuhiro; Tateishi, Yujiro Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II. (English) Zbl 1480.35039 Discrete Contin. Dyn. Syst. 42, No. 1, 369-401 (2022). MSC: 35B40 35J10 35K10 47D06 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{Y. Tateishi}, Discrete Contin. Dyn. Syst. 42, No. 1, 369--401 (2022; Zbl 1480.35039) Full Text: DOI arXiv
Wu, Jia-Yong Schrödinger heat kernel upper bounds on gradient shrinking Ricci solitons. (English) Zbl 1456.35099 J. Geom. Phys. 161, Article ID 104035, 10 p. (2021). MSC: 35K08 35B45 53C21 PDFBibTeX XMLCite \textit{J.-Y. Wu}, J. Geom. Phys. 161, Article ID 104035, 10 p. (2021; Zbl 1456.35099) Full Text: DOI
Carron, Gilles Euclidean volume growth for complete Riemannian manifolds. (English) Zbl 1467.53043 Milan J. Math. 88, No. 2, 455-478 (2020). MSC: 53C21 58J35 58C40 58J50 53-02 PDFBibTeX XMLCite \textit{G. Carron}, Milan J. Math. 88, No. 2, 455--478 (2020; Zbl 1467.53043) Full Text: DOI arXiv
Magniez, Jocelyn; Ouhabaz, El Maati \(L^p\)-estimates for the heat semigroup on differential forms, and related problems. (English) Zbl 1460.58015 J. Geom. Anal. 30, No. 3, 3002-3025 (2020). Reviewer: Byungdo Park (Cheongju) MSC: 58J35 58A10 42B20 47D03 PDFBibTeX XMLCite \textit{J. Magniez} and \textit{E. M. Ouhabaz}, J. Geom. Anal. 30, No. 3, 3002--3025 (2020; Zbl 1460.58015) Full Text: DOI arXiv
Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam Gaussian heat kernel estimates: from functions to forms. (English) Zbl 1444.58009 J. Reine Angew. Math. 761, 25-79 (2020). Reviewer: Gabor Etesi (Budapest) MSC: 58J35 PDFBibTeX XMLCite \textit{T. Coulhon} et al., J. Reine Angew. Math. 761, 25--79 (2020; Zbl 1444.58009) Full Text: DOI arXiv
Chen, Peng; Sikora, Adam; Yan, Lixin Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces. (English) Zbl 1446.42012 Math. Z. 294, No. 1-2, 555-570 (2020). Reviewer: Shuichi Sato (Kanazawa) MSC: 42B15 42B20 47F05 PDFBibTeX XMLCite \textit{P. Chen} et al., Math. Z. 294, No. 1--2, 555--570 (2020; Zbl 1446.42012) Full Text: DOI arXiv
Carron, Gilles Geometric inequalities for manifolds with Ricci curvature in the Kato class. (Inégalités géométriques pour des variétés dont la courbure de Ricci est dans la classe de Kato.) (English. French summary) Zbl 1455.53065 Ann. Inst. Fourier 69, No. 7, 3095-3167 (2019). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 53C21 58J35 58C40 58J50 PDFBibTeX XMLCite \textit{G. Carron}, Ann. Inst. Fourier 69, No. 7, 3095--3167 (2019; Zbl 1455.53065) Full Text: DOI arXiv
Ishige, Kazuhiro; Kabeya, Yoshitsugu; Mukai, Asato Hot spots of solutions to the heat equation with inverse square potential. (English) Zbl 1420.35110 Appl. Anal. 98, No. 10, 1843-1861 (2019). MSC: 35K05 35K15 PDFBibTeX XMLCite \textit{K. Ishige} et al., Appl. Anal. 98, No. 10, 1843--1861 (2019; Zbl 1420.35110) Full Text: DOI arXiv
Vogt, Hendrik \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds. (English) Zbl 1428.35258 Potential Anal. 51, No. 1, 37-47 (2019). MSC: 35P99 35K08 35J25 PDFBibTeX XMLCite \textit{H. Vogt}, Potential Anal. 51, No. 1, 37--47 (2019; Zbl 1428.35258) Full Text: DOI arXiv
Ioku, Norisuke; Ogawa, Takayoshi Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations. (English) Zbl 1422.35112 J. Differ. Equations 266, No. 4, 2274-2293 (2019). Reviewer: Denise Huet (Nancy) MSC: 35K55 46E30 46E35 PDFBibTeX XMLCite \textit{N. Ioku} and \textit{T. Ogawa}, J. Differ. Equations 266, No. 4, 2274--2293 (2019; Zbl 1422.35112) Full Text: DOI
Devyver, Baptiste Heat kernel and Riesz transform of Schrödinger operators. (Noyau de la chaleur et transformée de Riesz des opérateurs de Schrödinger.) (English. French summary) Zbl 1412.35156 Ann. Inst. Fourier 69, No. 2, 457-513 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35K08 35J05 58J50 31E05 PDFBibTeX XMLCite \textit{B. Devyver}, Ann. Inst. Fourier 69, No. 2, 457--513 (2019; Zbl 1412.35156) Full Text: DOI arXiv
Rozendaal, Jan; Veraar, Mark Sharp growth rates for semigroups using resolvent bounds. (English) Zbl 07003367 J. Evol. Equ. 18, No. 4, 1721-1744 (2018). MSC: 47D06 34D05 35B40 42B15 PDFBibTeX XMLCite \textit{J. Rozendaal} and \textit{M. Veraar}, J. Evol. Equ. 18, No. 4, 1721--1744 (2018; Zbl 07003367) Full Text: DOI arXiv
Ishige, Kazuhiro; Mukai, Asato Large time behavior of solutions of the heat equation with inverse square potential. (English) Zbl 1393.35075 Discrete Contin. Dyn. Syst. 38, No. 8, 4041-4069 (2018). MSC: 35K15 35B40 35K67 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{A. Mukai}, Discrete Contin. Dyn. Syst. 38, No. 8, 4041--4069 (2018; Zbl 1393.35075) Full Text: DOI arXiv
Chen, Peng; Ouhabaz, El Maati; Sikora, Adam; Yan, Lixin Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means. (English) Zbl 1448.47033 J. Anal. Math. 129, 219-283 (2016). Reviewer: Oscar Blasco (Valencia) MSC: 47B25 42B15 43A99 30L15 58J50 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Anal. Math. 129, 219--283 (2016; Zbl 1448.47033) Full Text: DOI arXiv
Magniez, Jocelyn Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds. (English) Zbl 1344.42022 Math. Nachr. 289, No. 8-9, 1021-1043 (2016). MSC: 42B99 42B20 42B37 35R01 58J35 PDFBibTeX XMLCite \textit{J. Magniez}, Math. Nachr. 289, No. 8--9, 1021--1043 (2016; Zbl 1344.42022) Full Text: DOI arXiv
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups. (English. French summary) Zbl 1405.35026 J. Math. Pures Appl. (9) 103, No. 4, 900-923 (2015). MSC: 35J10 35K10 35B40 PDFBibTeX XMLCite \textit{N. Ioku} et al., J. Math. Pures Appl. (9) 103, No. 4, 900--923 (2015; Zbl 1405.35026) Full Text: DOI
Ioku, Norisuke; Ishiwata, Michinori On a variational problem associated with a Hardy type inequality involving a mean oscillation. (English) Zbl 1345.26028 Calc. Var. Partial Differ. Equ. 54, No. 4, 3949-3966 (2015). Reviewer: Petr Gurka (Praha) MSC: 26D10 35J20 46E35 PDFBibTeX XMLCite \textit{N. Ioku} and \textit{M. Ishiwata}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3949--3966 (2015; Zbl 1345.26028) Full Text: DOI
Trachanas, Georgios P.; Zographopoulos, Nikolaos B. Orbital stability for the Schrödinger operator involving inverse square potential. (English) Zbl 1326.35036 J. Differ. Equations 259, No. 10, 4989-5016 (2015); corrigendum ibid. 264, No. 4, 3070-3071 (2018). MSC: 35B35 35A15 35Q41 35Q55 35J10 PDFBibTeX XMLCite \textit{G. P. Trachanas} and \textit{N. B. Zographopoulos}, J. Differ. Equations 259, No. 10, 4989--5016 (2015; Zbl 1326.35036) Full Text: DOI arXiv
Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. (English) Zbl 1304.35314 Adv. Math. 270, 302-374 (2015). MSC: 35K08 35B45 PDFBibTeX XMLCite \textit{S. Boutayeb} et al., Adv. Math. 270, 302--374 (2015; Zbl 1304.35314) Full Text: DOI arXiv
Bui, The Anh Weighted norm inequalities for spectral multipliers without Gaussian estimates. (English) Zbl 1311.42023 Tokyo J. Math. 37, No. 2, 373-384 (2014). MSC: 42B15 42B20 42B25 PDFBibTeX XMLCite \textit{T. A. Bui}, Tokyo J. Math. 37, No. 2, 373--384 (2014; Zbl 1311.42023) Full Text: DOI arXiv Euclid
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji Sharp decay estimates of \(L^q\)-norms for nonnegative Schrödinger heat semigroups. (English) Zbl 1295.47043 J. Funct. Anal. 264, No. 12, 2764-2783 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D08 35B40 35K15 35J10 PDFBibTeX XMLCite \textit{N. Ioku} et al., J. Funct. Anal. 264, No. 12, 2764--2783 (2013; Zbl 1295.47043) Full Text: DOI arXiv
Ishige, Kazuhiro; Kabeya, Yoshitsugu Decay rate of \(L^q\) norms of critical Schrödinger heat semigroups. (English) Zbl 1272.35034 Magnanini, Rolando (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Milano: Springer (ISBN 978-88-470-2840-1/hbk; 978-88-470-2841-8/ebook). Springer INdAM Series 2, 165-178 (2013). MSC: 35B40 35K08 35J10 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{Y. Kabeya}, Springer INdAM Ser. 2, 165--178 (2013; Zbl 1272.35034) Full Text: DOI
Assaad, Joyce; Ouhabaz, El Maati Riesz transforms of Schrödinger operators on manifolds. (English) Zbl 1259.58006 J. Geom. Anal. 22, No. 4, 1108-1136 (2012). MSC: 58J35 42B20 47F05 35J10 PDFBibTeX XMLCite \textit{J. Assaad} and \textit{E. M. Ouhabaz}, J. Geom. Anal. 22, No. 4, 1108--1136 (2012; Zbl 1259.58006) Full Text: DOI HAL
Ishige, Kazuhiro; Kabeya, Yoshitsugu \(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots. (English) Zbl 1252.35066 J. Funct. Anal. 262, No. 6, 2695-2733 (2012). Reviewer: Michael Reissig (Freiberg) MSC: 35B40 35K15 47D06 35J10 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{Y. Kabeya}, J. Funct. Anal. 262, No. 6, 2695--2733 (2012; Zbl 1252.35066) Full Text: DOI
Grigor’yan, Alexander; Saloff-Coste, Laurent Heat kernel on manifolds with ends. (English) Zbl 1239.58016 Ann. Inst. Fourier 59, No. 5, 1917-1997 (2009). MSC: 58J35 35K08 58J65 60J60 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{L. Saloff-Coste}, Ann. Inst. Fourier 59, No. 5, 1917--1997 (2009; Zbl 1239.58016) Full Text: DOI EuDML Link
Felli, Veronica; Marchini, Elsa M.; Terracini, Susanna On Schrödinger operators with multipolar inverse-square potentials. (English) Zbl 1222.35074 J. Funct. Anal. 250, No. 2, 265-316 (2007). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 35J20 35J10 81Q10 PDFBibTeX XMLCite \textit{V. Felli} et al., J. Funct. Anal. 250, No. 2, 265--316 (2007; Zbl 1222.35074) Full Text: DOI arXiv
Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains. (English) Zbl 1172.35013 Commun. Math. Phys. 273, No. 1, 237-281 (2007). MSC: 35J10 35B45 35B65 35K05 PDFBibTeX XMLCite \textit{S. Filippas} et al., Commun. Math. Phys. 273, No. 1, 237--281 (2007; Zbl 1172.35013) Full Text: DOI arXiv
Li, Xiang Dong Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds. (English) Zbl 1119.53022 Rev. Mat. Iberoam. 22, No. 2, 591-648 (2006). MSC: 53C20 31C12 58J65 60H30 PDFBibTeX XMLCite \textit{X. D. Li}, Rev. Mat. Iberoam. 22, No. 2, 591--648 (2006; Zbl 1119.53022) Full Text: DOI Euclid EuDML
Ouhabaz, El Maati Sharp Gaussian bounds and \(L^p\)-growth of semigroups associated with elliptic and Schrödinger operators. (English) Zbl 1113.47032 Proc. Am. Math. Soc. 134, No. 12, 3567-3575 (2006). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 47D08 47D06 35P15 35J10 35J15 47N20 PDFBibTeX XMLCite \textit{E. M. Ouhabaz}, Proc. Am. Math. Soc. 134, No. 12, 3567--3575 (2006; Zbl 1113.47032) Full Text: DOI
Ouhabaz, El Maati Behaviour of heat kernels of Schrödinger operators and applications to certain semilinear parabolic equations. (Comportement des noyaux de la chaleur des opérateurs de Schrödinger et applications à certaines équations paraboliques semi-linéaires.) (French) Zbl 1106.58019 J. Funct. Anal. 238, No. 1, 278-297 (2006). Reviewer: Viorel Iftimie (Bucureşti) MSC: 58J35 47D08 PDFBibTeX XMLCite \textit{E. M. Ouhabaz}, J. Funct. Anal. 238, No. 1, 278--297 (2006; Zbl 1106.58019) Full Text: DOI
Milman, Pierre D.; Semenov, Yu. A. Global heat kernel bounds via desingularizing weights. (English) Zbl 1057.47043 J. Funct. Anal. 212, No. 2, 373-398 (2004); erratum ibid. 220, No. 1, 238-239 (2005). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D06 46E35 35B35 35K05 47F05 35J10 PDFBibTeX XMLCite \textit{P. D. Milman} and \textit{Yu. A. Semenov}, J. Funct. Anal. 212, No. 2, 373--398 (2005; Zbl 1057.47043) Full Text: DOI DOI Link
Barbatis, G.; Filippas, S.; Tertikas, A. Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. (English) Zbl 1058.35049 J. Funct. Anal. 208, No. 1, 1-30 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B45 26D10 35K20 35B05 35A20 PDFBibTeX XMLCite \textit{G. Barbatis} et al., J. Funct. Anal. 208, No. 1, 1--30 (2004; Zbl 1058.35049) Full Text: DOI arXiv
Zhang, Qi S. Global bounds of Schrödinger heat kernels with negative potentials. (English) Zbl 0985.58008 J. Funct. Anal. 182, No. 2, 344-370 (2001). Reviewer: Ken S.Richardson (Fort Worth) MSC: 58J35 47F05 PDFBibTeX XMLCite \textit{Q. S. Zhang}, J. Funct. Anal. 182, No. 2, 344--370 (2001; Zbl 0985.58008) Full Text: DOI
Zhang, Qi S. The quantizing effect of potentials on the critical number of reaction-diffusion equations. (English) Zbl 0973.35035 J. Differ. Equations 170, No. 1, 188-214 (2001). Reviewer: Dian K.Palagachev (Bari) MSC: 35B33 35K60 35K57 PDFBibTeX XMLCite \textit{Q. S. Zhang}, J. Differ. Equations 170, No. 1, 188--214 (2001; Zbl 0973.35035) Full Text: DOI
Zhang, Qi S. Global lower bound for the heat kernel of \(-\Delta+\frac{c}{|x|^2}\). (English) Zbl 0964.35024 Proc. Am. Math. Soc. 129, No. 4, 1105-1112 (2001). MSC: 35B45 35K10 35K65 PDFBibTeX XMLCite \textit{Q. S. Zhang}, Proc. Am. Math. Soc. 129, No. 4, 1105--1112 (2001; Zbl 0964.35024) Full Text: DOI
Weidl, Timo Remarks on virtual bound states for semi-bounded operators. (English) Zbl 0926.47009 Commun. Partial Differ. Equations 24, No. 1-2, 25-60 (1999). MSC: 47A55 47A10 47F05 PDFBibTeX XMLCite \textit{T. Weidl}, Commun. Partial Differ. Equations 24, No. 1--2, 25--60 (1999; Zbl 0926.47009) Full Text: DOI
Tertikas, Achilles Critical phenomena in linear elliptic problems. (English) Zbl 0920.35044 J. Funct. Anal. 154, No. 1, 42-66 (1998). Reviewer: István Győri (Veszprém) MSC: 35J15 35B05 PDFBibTeX XMLCite \textit{A. Tertikas}, J. Funct. Anal. 154, No. 1, 42--66 (1998; Zbl 0920.35044) Full Text: DOI