Punzo, Fabio Global solutions of semilinear parabolic equations on negatively curved Riemannian manifolds. (English) Zbl 07327657 J. Geom. Anal. 31, No. 1, 543-559 (2021). MSC: 35K58 35B51 35B44 35K08 35R01 58J35 PDF BibTeX XML Cite \textit{F. Punzo}, J. Geom. Anal. 31, No. 1, 543--559 (2021; Zbl 07327657) Full Text: DOI
Umakoshi, Haruki A semilinear heat equation with initial data in negative Sobolev spaces. (English) Zbl 07314580 Discrete Contin. Dyn. Syst., Ser. S 14, No. 2, 745-767 (2021). MSC: 35K58 35K91 35K20 35A01 35A02 35B65 35D30 PDF BibTeX XML Cite \textit{H. Umakoshi}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 2, 745--767 (2021; Zbl 07314580) Full Text: DOI
Poláčik, Peter; Quittner, Pavol Entire and ancient solutions of a supercritical semilinear heat equation. (English) Zbl 07314170 Discrete Contin. Dyn. Syst. 41, No. 1, 413-438 (2021). MSC: 35K58 35B08 35B44 35B05 35B53 PDF BibTeX XML Cite \textit{P. Poláčik} and \textit{P. Quittner}, Discrete Contin. Dyn. Syst. 41, No. 1, 413--438 (2021; Zbl 07314170) Full Text: DOI
Castorina, Daniele; Mantegazza, Carlo Ancient solutions of superlinear heat equations on Riemannian manifolds. (English) Zbl 07312337 Commun. Contemp. Math. 23, No. 3, Article ID 2050033, 16 p. (2021). MSC: 35K58 35R01 35B53 58J35 PDF BibTeX XML Cite \textit{D. Castorina} and \textit{C. Mantegazza}, Commun. Contemp. Math. 23, No. 3, Article ID 2050033, 16 p. (2021; Zbl 07312337) Full Text: DOI
Engu, Satyanarayana; Sahoo, Manas R.; Berke, Venkatramana P. Solutions to viscous Burgers equations with time dependent source term. (English) Zbl 07298214 Electron. J. Differ. Equ. 2021, Paper No. 02, 16 p. (2021). MSC: 35C15 35K20 35K58 35B09 35B40 PDF BibTeX XML Cite \textit{S. Engu} et al., Electron. J. Differ. Equ. 2021, Paper No. 02, 16 p. (2021; Zbl 07298214) Full Text: Link
Véron, Laurent Nonlinear boundary value problems relative to the one-dimensional heat equation. (English) Zbl 07312830 Rend. Ist. Mat. Univ. Trieste 52, 243-256 (2020). MSC: 35K60 35K05 35J65 35L71 35R06 35C06 PDF BibTeX XML Cite \textit{L. Véron}, Rend. Ist. Mat. Univ. Trieste 52, 243--256 (2020; Zbl 07312830) Full Text: DOI Link
Kyza, Irene; Metcalfe, Stephen Pointwise a posteriori error bounds for blow-up in the semilinear heat equation. (English) Zbl 07261059 SIAM J. Numer. Anal. 58, No. 5, 2609-2631 (2020). MSC: 65M60 65M06 65N30 65M15 35B44 35K05 35K55 35K58 PDF BibTeX XML Cite \textit{I. Kyza} and \textit{S. Metcalfe}, SIAM J. Numer. Anal. 58, No. 5, 2609--2631 (2020; Zbl 07261059) Full Text: DOI
Laurent, Camille; Rosier, Lionel Exact controllability of semilinear heat equations in spaces of analytic functions. (English) Zbl 1448.93030 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 1047-1073 (2020). MSC: 93B05 35K20 35K59 93C20 PDF BibTeX XML Cite \textit{C. Laurent} and \textit{L. Rosier}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 1047--1073 (2020; Zbl 1448.93030) Full Text: DOI
Laister, Robert; Sierżęga, M. Well-posedness of semilinear heat equations in \(L^1\). (English) Zbl 1442.35220 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 709-725 (2020). MSC: 35K58 35K91 35B30 PDF BibTeX XML Cite \textit{R. Laister} and \textit{M. Sierżęga}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 709--725 (2020; Zbl 1442.35220) Full Text: DOI
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values. (English) Zbl 1442.35238 Adv. Nonlinear Stud. 20, No. 2, 311-337 (2020). MSC: 35K91 35K55 35B30 35B40 35C06 47A20 PDF BibTeX XML Cite \textit{H. Mouajria} et al., Adv. Nonlinear Stud. 20, No. 2, 311--337 (2020; Zbl 1442.35238) Full Text: DOI
Anderson, Jeffrey R.; Deng, Keng Global solvability for a diffusion model with absorption and memory-driven flux at the boundary. (English) Zbl 1446.35065 Z. Angew. Math. Phys. 71, No. 2, Paper No. 50, 15 p. (2020). MSC: 35K91 35A01 35B44 35K20 35K05 PDF BibTeX XML Cite \textit{J. R. Anderson} and \textit{K. Deng}, Z. Angew. Math. Phys. 71, No. 2, Paper No. 50, 15 p. (2020; Zbl 1446.35065) Full Text: DOI
Clarke, Jorge; Olivera, Christian Local \(L^p\)-solution for semilinear heat equation with fractional noise. (English) Zbl 1437.60036 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 305-312 (2020). MSC: 60H15 60H30 35R60 35K05 35K10 35K58 PDF BibTeX XML Cite \textit{J. Clarke} and \textit{C. Olivera}, Ann. Acad. Sci. Fenn., Math. 45, No. 1, 305--312 (2020; Zbl 1437.60036) Full Text: DOI
Ma, He; Meng, Fanmo; Wang, Xingchang High initial energy finite time blowup with upper bound of blowup time of solution to semilinear parabolic equations. (English) Zbl 1439.35184 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111810, 8 p. (2020). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K05 35B44 PDF BibTeX XML Cite \textit{H. Ma} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111810, 8 p. (2020; Zbl 1439.35184) Full Text: DOI
Del Pino, Manuel; Musso, Monica; Wei, Juncheng; Zhou, Yifu Type II finite time blow-up for the energy critical heat equation in \(\mathbb{R}^4\). (English) Zbl 1439.35284 Discrete Contin. Dyn. Syst. 40, No. 6, 3327-3355 (2020). MSC: 35K58 35B40 PDF BibTeX XML Cite \textit{M. Del Pino} et al., Discrete Contin. Dyn. Syst. 40, No. 6, 3327--3355 (2020; Zbl 1439.35284) Full Text: DOI
Naito, Yūki Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data. (English) Zbl 1439.35305 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 789-811 (2020). MSC: 35K91 35C06 35K15 35K58 35B40 PDF BibTeX XML Cite \textit{Y. Naito}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 789--811 (2020; Zbl 1439.35305) Full Text: DOI
Harada, Junichi A higher speed type II blowup for the five dimensional energy critical heat equation. (English) Zbl 1433.35007 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 309-341 (2020). MSC: 35B44 35K58 35K15 PDF BibTeX XML Cite \textit{J. Harada}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 309--341 (2020; Zbl 1433.35007) Full Text: DOI
Collot, Charles; Merle, Frank; Raphaël, Pierre Strongly anisotropic type II blow up at an isolated point. (English) Zbl 1436.35253 J. Am. Math. Soc. 33, No. 2, 527-607 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35K91 35K58 35B44 35K15 PDF BibTeX XML Cite \textit{C. Collot} et al., J. Am. Math. Soc. 33, No. 2, 527--607 (2020; Zbl 1436.35253) Full Text: DOI
Duan, Yueliang; Wang, Lijuan Minimal norm control problem governed by semilinear heat equation with impulse control. (English) Zbl 1434.49029 J. Optim. Theory Appl. 184, No. 2, 400-418 (2020). Reviewer: Wei Gong (Beijing) MSC: 49N25 49K15 49K20 49J20 93C20 PDF BibTeX XML Cite \textit{Y. Duan} and \textit{L. Wang}, J. Optim. Theory Appl. 184, No. 2, 400--418 (2020; Zbl 1434.49029) Full Text: DOI
Le Balc’h, Kévin Global null-controllability and nonnegative-controllability of slightly superlinear heat equations. (English. French summary) Zbl 1436.93065 J. Math. Pures Appl. (9) 135, 103-139 (2020). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 93C20 93B05 93B07 35K05 PDF BibTeX XML Cite \textit{K. Le Balc'h}, J. Math. Pures Appl. (9) 135, 103--139 (2020; Zbl 1436.93065) Full Text: DOI
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie On strongly anisotropic type I blowup. (English) Zbl 1432.35124 Int. Math. Res. Not. 2020, No. 2, 541-606 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35K58 35B44 PDF BibTeX XML Cite \textit{F. Merle} et al., Int. Math. Res. Not. 2020, No. 2, 541--606 (2020; Zbl 1432.35124) Full Text: DOI
Harada, Junichi Boundary behavior of blowup solutions for a heat equation with a nonlinear boundary condition. (English) Zbl 1440.35199 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 6, 26 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35K58 35B44 PDF BibTeX XML Cite \textit{J. Harada}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 6, 26 p. (2020; Zbl 1440.35199) Full Text: DOI
Poláčik, P.; Quittner, P. On the multiplicity of self-similar solutions of the semilinear heat equation. (English) Zbl 1428.35170 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 191, Article ID 111639, 23 p. (2020). MSC: 35K57 35C06 35B44 35J61 PDF BibTeX XML Cite \textit{P. Poláčik} and \textit{P. Quittner}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 191, Article ID 111639, 23 p. (2020; Zbl 1428.35170) Full Text: DOI
Liu, Luyan; Du, Guangwei; Li, Fushan Blow-up phenomena for parabolic equation with variable frequency heat source. (English) Zbl 1449.35120 J. Qufu Norm. Univ., Nat. Sci. 45, No. 4, 1-7 (2019). MSC: 35B44 35K05 35K58 PDF BibTeX XML Cite \textit{L. Liu} et al., J. Qufu Norm. Univ., Nat. Sci. 45, No. 4, 1--7 (2019; Zbl 1449.35120) Full Text: DOI
Lissy, Pierre; Privat, Yannick; Simporé, Yacouba Insensitizing control for linear and semi-linear heat equations with partially unknown domain. (English) Zbl 1442.93009 ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019). MSC: 93B05 35K20 35K91 49K20 93C20 PDF BibTeX XML Cite \textit{P. Lissy} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019; Zbl 1442.93009) Full Text: DOI
Slimene, Byrame Ben Asymptotically self-similar global solutions for Hardy-Hénon parabolic systems. (English) Zbl 1435.35066 Differ. Equ. Appl. 11, No. 4, 439-462 (2019). MSC: 35B40 35C06 35B30 35K58 35K67 35K57 35B33 35K45 PDF BibTeX XML Cite \textit{B. B. Slimene}, Differ. Equ. Appl. 11, No. 4, 439--462 (2019; Zbl 1435.35066) Full Text: DOI
Duong, Giao Ky A blowup solution of a complex semi-linear heat equation with an irrational power. (English) Zbl 1428.35143 J. Differ. Equations 267, No. 9, 4975-5048 (2019). MSC: 35K05 35B40 35B44 35K55 35K57 35B09 PDF BibTeX XML Cite \textit{G. K. Duong}, J. Differ. Equations 267, No. 9, 4975--5048 (2019; Zbl 1428.35143) Full Text: DOI arXiv
Mi, Yongsheng; Mu, Chunlai Blow-up phenomena for some nonlinear parabolic problems under nonlinear boundary conditions. (English) Zbl 1427.35098 Appl. Comput. Math. 18, No. 1, 41-49 (2019). MSC: 35K20 35K55 35K60 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{C. Mu}, Appl. Comput. Math. 18, No. 1, 41--49 (2019; Zbl 1427.35098) Full Text: Link
Duong, Giao Ky; Zaag, Hatem Profile of a touch-down solution to a nonlocal MEMS model. (English) Zbl 1425.35116 Math. Models Methods Appl. Sci. 29, No. 7, 1279-1348 (2019). MSC: 35K91 35B40 35K20 35K57 35B44 PDF BibTeX XML Cite \textit{G. K. Duong} and \textit{H. Zaag}, Math. Models Methods Appl. Sci. 29, No. 7, 1279--1348 (2019; Zbl 1425.35116) Full Text: DOI
Huang, Haochuan; Yin, Jingxue; Jin, Chunhua A note on the existence of time periodic solution of a superlinear heat equation. (English) Zbl 1423.35217 Appl. Anal. 98, No. 13, 2454-2463 (2019). MSC: 35K58 35B10 35B33 35K20 PDF BibTeX XML Cite \textit{H. Huang} et al., Appl. Anal. 98, No. 13, 2454--2463 (2019; Zbl 1423.35217) Full Text: DOI
Mizoguchi, Noriko; Souplet, Philippe Optimal condition for blow-up of the critical \(L^q\) norm for the semilinear heat equation. (English) Zbl 1420.35139 Adv. Math. 355, Article ID 106763, 24 p. (2019). MSC: 35K58 35B40 35B44 35B33 PDF BibTeX XML Cite \textit{N. Mizoguchi} and \textit{P. Souplet}, Adv. Math. 355, Article ID 106763, 24 p. (2019; Zbl 1420.35139) Full Text: DOI arXiv
Biccari, Umberto; Hernández-Santamaría, Víctor Null controllability of Linear and semilinear nonlocal heat equations with an additive integral kernel. (English) Zbl 1420.35137 SIAM J. Control Optim. 57, No. 4, 2924-2938 (2019). MSC: 35K58 93B05 93B07 93C20 PDF BibTeX XML Cite \textit{U. Biccari} and \textit{V. Hernández-Santamaría}, SIAM J. Control Optim. 57, No. 4, 2924--2938 (2019; Zbl 1420.35137) Full Text: DOI
Collot, Charles; Raphaël, Pierre; Szeftel, Jeremie On the stability of type I blow up for the energy super critical heat equation. (English) Zbl 1430.35138 Memoirs of the American Mathematical Society 1255. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3626-1/pbk; 978-1-4704-5334-3/ebook). v, 97 p. (2019). Reviewer: Joseph Shomberg (Providence) MSC: 35K58 35-02 35B32 35B35 35B44 35J61 PDF BibTeX XML Cite \textit{C. Collot} et al., On the stability of type I blow up for the energy super critical heat equation. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1430.35138) Full Text: DOI arXiv
Duong, Giao Ky Profile for the imaginary part of a blowup solution for a complex-valued semilinear heat equation. (English) Zbl 1417.35064 J. Funct. Anal. 277, No. 5, 1531-1579 (2019). MSC: 35K55 35K57 35B44 35B40 PDF BibTeX XML Cite \textit{G. K. Duong}, J. Funct. Anal. 277, No. 5, 1531--1579 (2019; Zbl 1417.35064) Full Text: DOI
Zerrik, El Hassan; El Boukhari, Nihale Regional optimal control for a class of semilinear systems with distributed controls. (English) Zbl 1417.49026 Int. J. Control 92, No. 4, 896-907 (2019). MSC: 49K20 PDF BibTeX XML Cite \textit{E. H. Zerrik} and \textit{N. El Boukhari}, Int. J. Control 92, No. 4, 896--907 (2019; Zbl 1417.49026) Full Text: DOI
Castillo, Ricardo; Loayza, Miguel Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain. (English) Zbl 1415.35168 Z. Angew. Math. Phys. 70, No. 2, Paper No. 57, 16 p. (2019). MSC: 35K58 35B44 35K05 47D03 PDF BibTeX XML Cite \textit{R. Castillo} and \textit{M. Loayza}, Z. Angew. Math. Phys. 70, No. 2, Paper No. 57, 16 p. (2019; Zbl 1415.35168) Full Text: DOI
Han, Yuzhu Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity. (English) Zbl 07056507 J. Math. Anal. Appl. 474, No. 1, 513-517 (2019). MSC: 35 26 PDF BibTeX XML Cite \textit{Y. Han}, J. Math. Anal. Appl. 474, No. 1, 513--517 (2019; Zbl 07056507) Full Text: DOI
Högele, Michael Anton The first exit problem of reaction-diffusion equations for small multiplicative Lévy noise. (English) Zbl 1423.60100 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 665-709 (2019). MSC: 60H15 60G51 60G52 60G55 35K05 35K91 PDF BibTeX XML Cite \textit{M. A. Högele}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 665--709 (2019; Zbl 1423.60100) Full Text: Link
Naito, Yūki; Senba, Takasi Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state. (English) Zbl 1411.35175 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 265-293 (2019). MSC: 35K58 35B44 35C06 35A24 PDF BibTeX XML Cite \textit{Y. Naito} and \textit{T. Senba}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 265--293 (2019; Zbl 1411.35175) Full Text: DOI
Souplet, Philippe A simplified approach to the refined blowup behavior for the nonlinear heat equation. (English) Zbl 1411.35176 SIAM J. Math. Anal. 51, No. 2, 991-1013 (2019). MSC: 35K58 35B44 35B40 PDF BibTeX XML Cite \textit{P. Souplet}, SIAM J. Math. Anal. 51, No. 2, 991--1013 (2019; Zbl 1411.35176) Full Text: DOI
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. Perturbations of self-similar solutions. (English) Zbl 1409.35120 Dyn. Partial Differ. Equ. 16, No. 2, 151-183 (2019). MSC: 35K58 35A01 35A02 35C06 35K91 PDF BibTeX XML Cite \textit{T. Cazenave} et al., Dyn. Partial Differ. Equ. 16, No. 2, 151--183 (2019; Zbl 1409.35120) Full Text: DOI arXiv
Brandolese, Lorenzo; Cortez, Fernando Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms. (English) Zbl 1408.35074 J. Funct. Anal. 276, No. 8, 2589-2604 (2019). Reviewer: Christian Stinner (Darmstadt) MSC: 35K55 30H25 35B44 35K91 PDF BibTeX XML Cite \textit{L. Brandolese} and \textit{F. Cortez}, J. Funct. Anal. 276, No. 8, 2589--2604 (2019; Zbl 1408.35074) Full Text: DOI
Duong, Giao Ky; Nguyen, Van Tien; Zaag, Hatem Construction of a stable blowup solution with a prescribed behavior for a non-scaling-invariant semilinear heat equation. (English) Zbl 1407.35092 Tunis. J. Math. 1, No. 1, 13-45 (2019). MSC: 35K05 35B40 35K55 35K57 PDF BibTeX XML Cite \textit{G. K. Duong} et al., Tunis. J. Math. 1, No. 1, 13--45 (2019; Zbl 1407.35092) Full Text: DOI
Takahashi, Jin; Yamamoto, Hikaru Solutions with time-dependent singular sets for the heat equation with absorption. (English) Zbl 1405.35094 J. Differ. Equations 266, No. 7, 4061-4105 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35K58 35A20 35A01 PDF BibTeX XML Cite \textit{J. Takahashi} and \textit{H. Yamamoto}, J. Differ. Equations 266, No. 7, 4061--4105 (2019; Zbl 1405.35094) Full Text: DOI arXiv
Reinhardt, Christian; Mireles James, J. D. Fourier-Taylor parameterization of unstable manifolds for parabolic partial differential equations: formalism, implementation and rigorous validation. (English) Zbl 1419.35131 Indag. Math., New Ser. 30, No. 1, 39-80 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 35K91 37D10 58J35 PDF BibTeX XML Cite \textit{C. Reinhardt} and \textit{J. D. Mireles James}, Indag. Math., New Ser. 30, No. 1, 39--80 (2019; Zbl 1419.35131) Full Text: DOI
Majdoub, Mohamed; Tayachi, Slim Well-posedness, global existence and decay estimates for the heat equation with general power-exponential nonlinearities. (English) Zbl 1447.35196 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2413-2438 (2018). MSC: 35K58 35K15 46E30 35A01 PDF BibTeX XML Cite \textit{M. Majdoub} and \textit{S. Tayachi}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2413--2438 (2018; Zbl 1447.35196) Full Text: DOI
Adou, K. Achille; Touré, K. Augustin; Coulibaly, A. Numerical study of estimating the blow-up time of positive solutions of semilinear heat equations. (English) Zbl 1443.65171 Far East J. Appl. Math. 100, No. 4, 291-308 (2018). MSC: 65M20 65M12 35B44 35K05 35K20 35K58 PDF BibTeX XML Cite \textit{K. A. Adou} et al., Far East J. Appl. Math. 100, No. 4, 291--308 (2018; Zbl 1443.65171) Full Text: DOI
Braik, Abdelkader; Miloudi, Yamina; Zennir, Khaled Exponential growth for a semi-linear viscoelastic heat equation with \(L_{\rho}^p(\mathbb{R}^n)\)-norm in bi-Laplacian type. (English) Zbl 1438.35213 Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 11(60), No. 2, 77-88 (2018). MSC: 35K30 35B40 35K58 35Q74 74D05 PDF BibTeX XML Cite \textit{A. Braik} et al., Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 11(60), No. 2, 77--88 (2018; Zbl 1438.35213)
Wu, Yiting On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations. (English) Zbl 1423.35233 Comput. Math. Appl. 76, No. 4, 810-817 (2018). MSC: 35K91 05C22 35K08 35K15 PDF BibTeX XML Cite \textit{Y. Wu}, Comput. Math. Appl. 76, No. 4, 810--817 (2018; Zbl 1423.35233) Full Text: DOI
Trélat, Emmanuel Stabilization of semilinear PDEs, and uniform decay under discretization. (English) Zbl 1436.35305 Ammari, Kaïs (ed.) et al., Evolution equations. Long time behavior and control. Proceedings of the summer school, Université Savoie Mont Blanc, Chambéry, France, June 15–18, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 439, 31-76 (2018). MSC: 35Q93 74K20 74F05 93B52 93C20 35B35 35B40 74B05 93B05 35A35 35K05 35K58 35L02 PDF BibTeX XML Cite \textit{E. Trélat}, Lond. Math. Soc. Lect. Note Ser. 439, 31--76 (2018; Zbl 1436.35305) Full Text: DOI
El Hassan, Zerrik; El Boukhari, Nihale Regional constrained control problem for a class of semilinear distributed systems. (English) Zbl 1424.49016 Control Theory Technol. 16, No. 3, 221-231 (2018). MSC: 49J30 93C30 49K20 PDF BibTeX XML Cite \textit{Z. El Hassan} and \textit{N. El Boukhari}, Control Theory Technol. 16, No. 3, 221--231 (2018; Zbl 1424.49016) Full Text: DOI
Karite, Touria; Boutoulout, Ali; El Alaoui, Fatima Zahrae Some numerical results of regional boundary controllability with output constraints. (English) Zbl 1412.65147 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 111-122 (2018). MSC: 65M60 65H10 65F10 35K58 35K05 35Q93 93C20 49S05 PDF BibTeX XML Cite \textit{T. Karite} et al., Springer Proc. Math. Stat. 237, 111--122 (2018; Zbl 1412.65147) Full Text: DOI
Chen, Joe P.; Hinz, Michael; Teplyaev, Alexander From non-symmetric particle systems to non-linear PDEs on fractals. (English) Zbl 1405.60142 Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 503-513 (2018). MSC: 60K35 05C81 28A80 31C20 35K58 47A07 47H05 60F05 60F10 60J25 60J27 81Q35 82B21 82C22 PDF BibTeX XML Cite \textit{J. P. Chen} et al., in: Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10--14, 2016. Cham: Springer. 503--513 (2018; Zbl 1405.60142) Full Text: DOI
Bandle, C.; Monticelli, D. D.; Punzo, F. Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions. (English) Zbl 1404.35032 SIAM J. Math. Anal. 50, No. 6, 6082-6099 (2018). MSC: 35B35 35B36 35K58 58J32 58J35 35B10 PDF BibTeX XML Cite \textit{C. Bandle} et al., SIAM J. Math. Anal. 50, No. 6, 6082--6099 (2018; Zbl 1404.35032) Full Text: DOI
Oka, Yasuyuki Local well-posedness for semilinear heat equations on H type groups. (English) Zbl 1401.35003 Taiwanese J. Math. 22, No. 5, 1091-1105 (2018). MSC: 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Oka}, Taiwanese J. Math. 22, No. 5, 1091--1105 (2018; Zbl 1401.35003) Full Text: DOI Euclid
Mou, Jinbao; Xiong, Hui Sufficient conditions for blow-up of a semilinear parabolic equation in bounded domains. (Chinese. English summary) Zbl 1413.35097 Math. Pract. Theory 48, No. 7, 273-278 (2018). MSC: 35B44 35K58 PDF BibTeX XML Cite \textit{J. Mou} and \textit{H. Xiong}, Math. Pract. Theory 48, No. 7, 273--278 (2018; Zbl 1413.35097)
Acosta, Antonio; Leiva, Hugo Robustness of the controllability for the heat equation under the influence of multiple impulses and delays. (English) Zbl 1401.93030 Quaest. Math. 41, No. 6, 761-772 (2018). MSC: 93B05 93C10 93B35 35K05 35R12 PDF BibTeX XML Cite \textit{A. Acosta} and \textit{H. Leiva}, Quaest. Math. 41, No. 6, 761--772 (2018; Zbl 1401.93030) Full Text: DOI
Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan Determination of an unknown heat source from integral overdetermination condition. (English) Zbl 1397.65129 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1373-1382 (2018). MSC: 65M06 35K05 65M12 65M32 35K20 35K91 PDF BibTeX XML Cite \textit{I. Baglan} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1373--1382 (2018; Zbl 1397.65129) Full Text: DOI
Kazakov, A. L.; Orlov, Sv. S.; Orlov, S. S. Construction and study of exact solutions to a nonlinear heat equation. (English. Russian original) Zbl 1397.35054 Sib. Math. J. 59, No. 3, 427-441 (2018); translation from Sib. Mat. Zh. 59, No. 3, 544-560 (2018). MSC: 35C05 35K58 PDF BibTeX XML Cite \textit{A. L. Kazakov} et al., Sib. Math. J. 59, No. 3, 427--441 (2018; Zbl 1397.35054); translation from Sib. Mat. Zh. 59, No. 3, 544--560 (2018) Full Text: DOI
Wu, Yiting On nonexistence of global solutions for a semilinear heat equation on graphs. (English) Zbl 1388.35120 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 73-84 (2018). MSC: 35K91 35A01 35R02 58J35 PDF BibTeX XML Cite \textit{Y. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 73--84 (2018; Zbl 1388.35120) Full Text: DOI
Guevara, Cristi; Leiva, Hugo Controllability of the impulsive semilinear heat equation with memory and delay. (English) Zbl 1387.93041 J. Dyn. Control Syst. 24, No. 1, 1-11 (2018). MSC: 93B05 93C10 PDF BibTeX XML Cite \textit{C. Guevara} and \textit{H. Leiva}, J. Dyn. Control Syst. 24, No. 1, 1--11 (2018; Zbl 1387.93041) Full Text: DOI
Nguyen Thac Dung; Nguyen Ngoc Khanh; Ngô, Quoc Anh Gradient estimates for some \(f\)-heat equations driven by Lichnerowicz’s equation on complete smooth metric measure spaces. (English) Zbl 1391.58013 Manuscr. Math. 155, No. 3-4, 471-501 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35R01 53C21 35B53 35K58 PDF BibTeX XML Cite \textit{Nguyen Thac Dung} et al., Manuscr. Math. 155, No. 3--4, 471--501 (2018; Zbl 1391.58013) Full Text: DOI
Målqvist, Axel; Persson, Anna Multiscale techniques for parabolic equations. (English) Zbl 1401.65109 Numer. Math. 138, No. 1, 191-217 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 35K20 35K58 65M12 35K05 PDF BibTeX XML Cite \textit{A. Målqvist} and \textit{A. Persson}, Numer. Math. 138, No. 1, 191--217 (2018; Zbl 1401.65109) Full Text: DOI arXiv
Fury, Matthew Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces. (English) Zbl 06828673 Electron. J. Differ. Equ. 2018, Paper No. 28, 11 p. (2018). MSC: 47D03 35K91 PDF BibTeX XML Cite \textit{M. Fury}, Electron. J. Differ. Equ. 2018, Paper No. 28, 11 p. (2018; Zbl 06828673) Full Text: Link
Fujishima, Yohei On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation. (English) Zbl 1386.35255 Commun. Pure Appl. Anal. 17, No. 2, 449-475 (2018). MSC: 35K91 35B44 PDF BibTeX XML Cite \textit{Y. Fujishima}, Commun. Pure Appl. Anal. 17, No. 2, 449--475 (2018; Zbl 1386.35255) Full Text: DOI
Simpore, Yacouba; Traore, Oumar Insensitizing control with constraints on the control of the semi-linear heat equation. (English) Zbl 1415.35143 J. Nonlinear Evol. Equ. Appl. 2017, 1-12 (2017). MSC: 35K05 35K55 49J20 93B05 PDF BibTeX XML Cite \textit{Y. Simpore} and \textit{O. Traore}, J. Nonlinear Evol. Equ. Appl. 2017, 1--12 (2017; Zbl 1415.35143) Full Text: Link
Esteban, Maria J. Nonlinear flows and optimality for functional inequalities: an extended abstract. (English) Zbl 1396.58023 Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 21-26 (2017). MSC: 58J35 49K30 35J61 PDF BibTeX XML Cite \textit{M. J. Esteban}, in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 21--26 (2017; Zbl 1396.58023) Full Text: DOI
Chebotarev, Alexander Yu.; Grenkin, Gleb V.; Kovtanyuk, Andrey E. Inhomogeneous steady-state problem of complex heat transfer. (English) Zbl 1387.35122 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2511-2519 (2017). MSC: 35J05 35J61 35J66 80A20 PDF BibTeX XML Cite \textit{A. Yu. Chebotarev} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2511--2519 (2017; Zbl 1387.35122) Full Text: DOI
Gladkov, Alexander Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. (English) Zbl 1372.35048 Commun. Pure Appl. Anal. 16, No. 6, 2053-2068 (2017). MSC: 35B44 35K58 35K61 PDF BibTeX XML Cite \textit{A. Gladkov}, Commun. Pure Appl. Anal. 16, No. 6, 2053--2068 (2017; Zbl 1372.35048) Full Text: DOI arXiv
Lin, Yong; Wu, Yiting The existence and nonexistence of global solutions for a semilinear heat equation on graphs. (English) Zbl 1377.35178 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 102, 22 p. (2017). MSC: 35K91 35A01 35R02 58J35 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Wu}, Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 102, 22 p. (2017; Zbl 1377.35178) Full Text: DOI arXiv
Villa-Morales, José Instantaneous blow-up of semilinear non-autonomous equations with fractional diffusion. (English) Zbl 1370.35159 Electron. J. Differ. Equ. 2017, Paper No. 116, 10 p. (2017). MSC: 35K05 45K05 60G52 34G20 PDF BibTeX XML Cite \textit{J. Villa-Morales}, Electron. J. Differ. Equ. 2017, Paper No. 116, 10 p. (2017; Zbl 1370.35159) Full Text: Link
Fernández-Cara, Enrique; de Sousa, Ivaldo Tributino Local null controllability of a free-boundary problem for the semilinear 1D heat equation. (English) Zbl 1368.93033 Bull. Braz. Math. Soc. (N.S.) 48, No. 2, 303-315 (2017). MSC: 93B05 35K05 35R35 93C05 93C10 PDF BibTeX XML Cite \textit{E. Fernández-Cara} and \textit{I. T. de Sousa}, Bull. Braz. Math. Soc. (N.S.) 48, No. 2, 303--315 (2017; Zbl 1368.93033) Full Text: DOI
Harada, Junichi Nonsimultaneous blowup for a complex valued semilinear heat equation. (English) Zbl 1435.35207 J. Differ. Equations 263, No. 8, 4503-4516 (2017). MSC: 35K91 35B44 35C06 PDF BibTeX XML Cite \textit{J. Harada}, J. Differ. Equations 263, No. 8, 4503--4516 (2017; Zbl 1435.35207) Full Text: DOI
Huang, Jianfei; Yang, Dandan A unified difference-spectral method for time-space fractional diffusion equations. (English) Zbl 1378.65159 Int. J. Comput. Math. 94, No. 6, 1172-1184 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 45D05 65M12 65M70 35R11 35K05 65M20 35K58 PDF BibTeX XML Cite \textit{J. Huang} and \textit{D. Yang}, Int. J. Comput. Math. 94, No. 6, 1172--1184 (2017; Zbl 1378.65159) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Interpolation inequalities on the sphere: linear vs. nonlinear flows. (English. French summary) Zbl 1372.58017 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 351-379 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 26D10 35J60 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 351--379 (2017; Zbl 1372.58017) Full Text: DOI
Isaia, Vincenzo Michael Numerical simulation of universal finite time behavior for parabolic IVP via geometric renormalization group. (English) Zbl 1368.65160 Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3459-3481 (2017). MSC: 65M12 35B40 35C06 PDF BibTeX XML Cite \textit{V. M. Isaia}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3459--3481 (2017; Zbl 1368.65160) Full Text: DOI
Ben Slimene, Byrame Sign-changing stationary solutions and blowup for the two power nonlinear heat equation in a ball. (English) Zbl 1373.35098 J. Math. Anal. Appl. 454, No. 2, 1067-1084 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 35J05 35K05 PDF BibTeX XML Cite \textit{B. Ben Slimene}, J. Math. Anal. Appl. 454, No. 2, 1067--1084 (2017; Zbl 1373.35098) Full Text: DOI
Castorina, Daniele; Mantegazza, Carlo Ancient solutions of semilinear heat equations on Riemannian manifolds. (English) Zbl 1365.35188 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 85-101 (2017). MSC: 35R01 35K05 35K58 58J35 PDF BibTeX XML Cite \textit{D. Castorina} and \textit{C. Mantegazza}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 85--101 (2017; Zbl 1365.35188) Full Text: DOI
Lin, Ping Feedback controllability for blowup points of semilinear heat equations. (English) Zbl 1359.93055 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1425-1434 (2017). MSC: 93B05 35K55 35K20 PDF BibTeX XML Cite \textit{P. Lin}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1425--1434 (2017; Zbl 1359.93055) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard Onofri inequalities and rigidity results. (English) Zbl 1359.58015 Discrete Contin. Dyn. Syst. 37, No. 6, 3059-3078 (2017). MSC: 58J35 58J05 53C21 35J60 35K55 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 3059--3078 (2017; Zbl 1359.58015) Full Text: DOI
Ghoul, Tej-Eddine; Nguyen, Van Tien; Zaag, Hatem Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation. (English) Zbl 1364.35141 Adv. Nonlinear Stud. 17, No. 1, 31-54 (2017). Reviewer: Andrea Tellini (Madrid) MSC: 35K57 35B40 35K55 PDF BibTeX XML Cite \textit{T.-E. Ghoul} et al., Adv. Nonlinear Stud. 17, No. 1, 31--54 (2017; Zbl 1364.35141) Full Text: DOI arXiv
Janno, Jaan; Kasemets, Kairi Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation. (English) Zbl 1357.35296 Inverse Probl. Imaging 11, No. 1, 125-149 (2017). MSC: 35R30 35R11 35A02 80A23 PDF BibTeX XML Cite \textit{J. Janno} and \textit{K. Kasemets}, Inverse Probl. Imaging 11, No. 1, 125--149 (2017; Zbl 1357.35296) Full Text: DOI arXiv
Souplet, Philippe Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in \(\mathbb{R}^n\). (English) Zbl 1372.35157 J. Funct. Anal. 272, No. 5, 2005-2037 (2017). MSC: 35K58 35B65 PDF BibTeX XML Cite \textit{P. Souplet}, J. Funct. Anal. 272, No. 5, 2005--2037 (2017; Zbl 1372.35157) Full Text: DOI arXiv
Kowalczyk, Michał; Hernández, Álvaro Rotationally symmetric solutions to the Cahn-Hilliard equation. (English) Zbl 1354.35048 Discrete Contin. Dyn. Syst. 37, No. 2, 801-827 (2017). MSC: 35J61 35B08 35B07 35B10 35B36 35Q56 35Q79 PDF BibTeX XML Cite \textit{M. Kowalczyk} and \textit{Á. Hernández}, Discrete Contin. Dyn. Syst. 37, No. 2, 801--827 (2017; Zbl 1354.35048) Full Text: DOI
Furioli, Giulia; Kawakami, Tatsuki; Ruf, Bernhard; Terraneo, Elide Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity. (English) Zbl 1361.35069 J. Differ. Equations 262, No. 1, 145-180 (2017). Reviewer: Lubomira Softova (Aversa) MSC: 35K20 35K58 PDF BibTeX XML Cite \textit{G. Furioli} et al., J. Differ. Equations 262, No. 1, 145--180 (2017; Zbl 1361.35069) Full Text: DOI
Koffi, N’Guessan; Nabongo, Diabate Numerical blow-up for solutions of semilinear heat equations with small diffusion. (English) Zbl 1399.65156 An. Univ. Oradea, Fasc. Mat. 23, No. 2, 21-36 (2016). MSC: 65M06 35B25 35B44 35B50 35K20 35K91 PDF BibTeX XML Cite \textit{N. Koffi} and \textit{D. Nabongo}, An. Univ. Oradea, Fasc. Mat. 23, No. 2, 21--36 (2016; Zbl 1399.65156)
Zaag, Hatem; Tayachi, Slim Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term. (English) Zbl 1378.35048 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Le Havre, France, Octobre 21–22, 2015. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-3-7/pbk). Normandie-Mathématiques, 119-136 (2016). MSC: 35B44 35K58 35K15 35B40 PDF BibTeX XML Cite \textit{H. Zaag} and \textit{S. Tayachi}, in: Actes du colloque ``EDP-Normandie'', Le Havre, France, Octobre 21--22, 2015. [s.l.]: Fédération Normandie-Mathématiques. 119--136 (2016; Zbl 1378.35048)
Selcuk, Burhan; Ozalp, Nuri Quenching for a semilinear heat equation with a singular boundary outflux. (English) Zbl 1356.35119 Int. J. Appl. Math. 29, No. 4, 451-464 (2016). MSC: 35K20 35K55 35B50 PDF BibTeX XML Cite \textit{B. Selcuk} and \textit{N. Ozalp}, Int. J. Appl. Math. 29, No. 4, 451--464 (2016; Zbl 1356.35119) Full Text: DOI
Kalantarova, Jamila; Polat, Mustafa Blow up of solutions of second order semilinear parabolic equations under Robin boundary conditions. (English) Zbl 1372.35155 Anastassiou, George A. (ed.) et al., Computational analysis. AMAT, Ankara, May 2015. Selected contributions presented at the 3rd international conference on applied mathematics and approximation theory, Ankara, Turkey, May 28–31, 2015. Cham: Springer (ISBN 978-3-319-28441-5/hbk; 978-3-319-28443-9/ebook). Springer Proceedings in Mathematics & Statistics 155, 211-224 (2016). Reviewer: Stefanie Sonner (Graz) MSC: 35K58 35B44 35K20 PDF BibTeX XML Cite \textit{J. Kalantarova} and \textit{M. Polat}, in: Computational analysis. AMAT, Ankara, May 2015. Selected contributions presented at the 3rd international conference on applied mathematics and approximation theory, Ankara, Turkey, May 28--31, 2015. Cham: Springer. 211--224 (2016; Zbl 1372.35155) Full Text: DOI
Khanh, Nguyen Ngoc Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds. (English) Zbl 1389.58011 Arch. Math., Brno 52, No. 4, 207-219 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35B53 35B45 35B65 35K58 35R01 PDF BibTeX XML Cite \textit{N. N. Khanh}, Arch. Math., Brno 52, No. 4, 207--219 (2016; Zbl 1389.58011) Full Text: DOI
Wang, Zhiyong; Yin, Jingxue Asymptotic behaviour of the lifespan of solutions for a semilinear heat equation in hyperbolic space. (English) Zbl 1364.35157 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 5, 1091-1114 (2016). MSC: 35K58 35B44 35R01 35B40 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{J. Yin}, Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 5, 1091--1114 (2016; Zbl 1364.35157) Full Text: DOI
Laister, R.; Robinson, J. C.; Sierżȩga, M.; Vidal-López, A. A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces. (English) Zbl 1349.35169 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1519-1538 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K55 35A01 35A24 35B44 35K08 PDF BibTeX XML Cite \textit{R. Laister} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1519--1538 (2016; Zbl 1349.35169) Full Text: DOI arXiv
Wang, Lijuan; Yan, Qishu Bang-bang property of time optimal null controls for some semilinear heat equation. (English) Zbl 1349.35209 SIAM J. Control Optim. 54, No. 6, 2949-2964 (2016). MSC: 35K58 49J20 49J30 93B07 PDF BibTeX XML Cite \textit{L. Wang} and \textit{Q. Yan}, SIAM J. Control Optim. 54, No. 6, 2949--2964 (2016; Zbl 1349.35209) Full Text: DOI
Vo, Thi Minh Nhat Construction of a control for the cubic semilinear heat equation. (English) Zbl 1348.35115 Vietnam J. Math. 44, No. 3, 587-601 (2016). MSC: 35K58 93B05 PDF BibTeX XML Cite \textit{T. M. N. Vo}, Vietnam J. Math. 44, No. 3, 587--601 (2016; Zbl 1348.35115) Full Text: DOI
Fursikov, A. V.; Shatina, L. S. On an estimate connected with the stabilization of a normal parabolic equation by start control. (English. Russian original) Zbl 1352.35213 J. Math. Sci., New York 217, No. 6, 803-826 (2016); translation from Fundam. Prikl. Mat. 19, No. 4, 197-230 (2014). MSC: 35Q93 35K58 35B35 35K05 93C20 35Q53 35B45 PDF BibTeX XML Cite \textit{A. V. Fursikov} and \textit{L. S. Shatina}, J. Math. Sci., New York 217, No. 6, 803--826 (2016; Zbl 1352.35213); translation from Fundam. Prikl. Mat. 19, No. 4, 197--230 (2014) Full Text: DOI
Gladkov, Alexander; Kavitova, Tatiana Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition. (English) Zbl 1362.35163 Appl. Anal. 95, No. 9, 1974-1988 (2016). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K61 35K58 35B44 PDF BibTeX XML Cite \textit{A. Gladkov} and \textit{T. Kavitova}, Appl. Anal. 95, No. 9, 1974--1988 (2016; Zbl 1362.35163) Full Text: DOI
Zhao, Liang; Fang, Shouwen Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds. (English) Zbl 1351.58016 Pac. J. Math. 285, No. 1, 243-256 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 58J35 35R01 35K58 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{S. Fang}, Pac. J. Math. 285, No. 1, 243--256 (2016; Zbl 1351.58016) Full Text: DOI
Segatti, Antonio; Snarski, Michael; Veneroni, Marco Analysis of a variational model for nematic shells. (English) Zbl 1345.35126 Math. Models Methods Appl. Sci. 26, No. 10, 1865-1918 (2016). MSC: 35R01 45Q99 58J35 35K58 53Z05 65Z05 PDF BibTeX XML Cite \textit{A. Segatti} et al., Math. Models Methods Appl. Sci. 26, No. 10, 1865--1918 (2016; Zbl 1345.35126) Full Text: DOI arXiv
Kuo, Ting-Jung; Lin, Chang-Shou Estimates of the mean field equations with integer singular sources: non-simple blowup. (English) Zbl 1358.35060 J. Differ. Geom. 103, No. 3, 377-424 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K58 58J35 PDF BibTeX XML Cite \textit{T.-J. Kuo} and \textit{C.-S. Lin}, J. Differ. Geom. 103, No. 3, 377--424 (2016; Zbl 1358.35060) Full Text: DOI Euclid
Hirata, Kentaro Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption. (English) Zbl 1346.35034 Hokkaido Math. J. 45, No. 2, 195-222 (2016). Reviewer: Dagmar Medková (Praha) MSC: 35B65 31C05 35K05 35K91 35K58 PDF BibTeX XML Cite \textit{K. Hirata}, Hokkaido Math. J. 45, No. 2, 195--222 (2016; Zbl 1346.35034) Full Text: DOI Link
Wang, Bingxian; Liu, Jijun Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations. (English) Zbl 1381.80006 Appl. Math. Lett. 60, 73-80 (2016). MSC: 80A20 35K20 35R30 80A23 35K58 49J20 49N45 80M50 PDF BibTeX XML Cite \textit{B. Wang} and \textit{J. Liu}, Appl. Math. Lett. 60, 73--80 (2016; Zbl 1381.80006) Full Text: DOI