El Idrissi, Ahmed; El Boukari, Brahim; El Ghordaf, Jalila Local and global well-posedness for fractional porous medium equation in critical Fourier-Besov spaces. (English) Zbl 07905427 Bol. Soc. Parana. Mat. (3) 42, Paper No. 148, 12 p. (2024). MSC: 35K15 35K55 76S05 PDFBibTeX XMLCite \textit{A. El Idrissi} et al., Bol. Soc. Parana. Mat. (3) 42, Paper No. 148, 12 p. (2024; Zbl 07905427) Full Text: DOI
Luo, Peng; Schied, Alexander; Xue, Xiaole The perturbation method applied to a robust optimization problem with constraint. (English) Zbl 07903126 Math. Financ. Econ. 18, No. 1, 95-112 (2024). MSC: 91-XX 93E20 60H10 35K15 PDFBibTeX XMLCite \textit{P. Luo} et al., Math. Financ. Econ. 18, No. 1, 95--112 (2024; Zbl 07903126) Full Text: DOI arXiv
Takeuchi, Taiki Breakdown of \(C^{\infty}\)-smoothing effects of solutions to the semilinear heat equation in the whole space. (English) Zbl 07896651 Commun. Pure Appl. Anal. 23, No. 6, 830-872 (2024). MSC: 35B65 35A09 35A23 35K15 35K58 42B35 PDFBibTeX XMLCite \textit{T. Takeuchi}, Commun. Pure Appl. Anal. 23, No. 6, 830--872 (2024; Zbl 07896651) Full Text: DOI
Suzuki, Ryuichi; Umeda, Noriaki On directional blow-up for a semilinear heat equation with space-dependent reaction. (English) Zbl 07895017 J. Funct. Anal. 287, No. 8, Article ID 110567, 33 p. (2024). MSC: 35B44 35K15 35K58 PDFBibTeX XMLCite \textit{R. Suzuki} and \textit{N. Umeda}, J. Funct. Anal. 287, No. 8, Article ID 110567, 33 p. (2024; Zbl 07895017) Full Text: DOI
Cuentas, Valeria; Espejo, Elio Optimal critical mass for the multi-species Keller-Segel model with rotational flux terms. (English) Zbl 07893405 Differ. Integral Equ. 37, No. 11-12, 753-816 (2024). MSC: 35K15 35K55 35Q60 78A35 PDFBibTeX XMLCite \textit{V. Cuentas} and \textit{E. Espejo}, Differ. Integral Equ. 37, No. 11--12, 753--816 (2024; Zbl 07893405) Full Text: DOI
Pastukhova, S. E. \(L^2\)-estimates of error in homogenization of parabolic equations with correctors taken into account. (English. Russian original) Zbl 07891532 J. Math. Sci., New York 283, No. 2, 289-304 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 1, 134-151 (2023). MSC: 35B27 35B45 35K15 PDFBibTeX XMLCite \textit{S. E. Pastukhova}, J. Math. Sci., New York 283, No. 2, 289--304 (2024; Zbl 07891532); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 1, 134--151 (2023) Full Text: DOI
Düring, Bertram; Evans, Josephine; Wolfram, Marie-Therese Steady states of an Elo-type rating model for players of varying strength. (English) Zbl 07889726 Kinet. Relat. Models 17, No. 2, 209-233 (2024). MSC: 35Q84 35B40 47D07 35Q91 35K15 PDFBibTeX XMLCite \textit{B. Düring} et al., Kinet. Relat. Models 17, No. 2, 209--233 (2024; Zbl 07889726) Full Text: DOI arXiv
Farina, A.; Gianni, R. Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term. (English) Zbl 07885656 Nonlinear Anal., Real World Appl. 79, Article ID 104121, 22 p. (2024). MSC: 35C06 35K15 35K58 PDFBibTeX XMLCite \textit{A. Farina} and \textit{R. Gianni}, Nonlinear Anal., Real World Appl. 79, Article ID 104121, 22 p. (2024; Zbl 07885656) Full Text: DOI
Nagoji, Hirotatsu Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises. (English) Zbl 07880259 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 932-967 (2024). MSC: 60H15 35K15 35L71 35R60 PDFBibTeX XMLCite \textit{H. Nagoji}, Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 932--967 (2024; Zbl 07880259) Full Text: DOI arXiv
Lawrie, Andrew Localized sequential bubbling for the radial energy critical semilinear heat equation. (English) Zbl 07879433 Vietnam J. Math. 52, No. 3, 699-706 (2024). MSC: 35K58 35K15 PDFBibTeX XMLCite \textit{A. Lawrie}, Vietnam J. Math. 52, No. 3, 699--706 (2024; Zbl 07879433) Full Text: DOI OA License
Liu, Keji; Zhao, Yue Inverse moving source problems for parabolic equations. (English) Zbl 07879163 Appl. Math. Lett. 155, Article ID 109114, 6 p. (2024). MSC: 35R30 35K08 35K15 80A23 PDFBibTeX XMLCite \textit{K. Liu} and \textit{Y. Zhao}, Appl. Math. Lett. 155, Article ID 109114, 6 p. (2024; Zbl 07879163) Full Text: DOI arXiv
Zakharov, Sergei V. Constructing the asymptotics of a solution of the heat equation from the known asymptotics of the initial function in three-dimensional space. (English. Russian original) Zbl 07878631 Sb. Math. 215, No. 1, 101-118 (2024); translation from Mat. Sb. 215, No. 1, 112-130 (2024). MSC: 35C20 35K05 35K15 PDFBibTeX XMLCite \textit{S. V. Zakharov}, Sb. Math. 215, No. 1, 101--118 (2024; Zbl 07878631); translation from Mat. Sb. 215, No. 1, 112--130 (2024) Full Text: DOI MNR
Bouin, Emeric; Coville, Jérôme; Zhang, Xi Precise rates of propagation in reaction-diffusion equations with logarithmic Allee effect. (English) Zbl 07873766 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 245, Article ID 113557, 18 p. (2024). MSC: 35K57 35B40 35K15 PDFBibTeX XMLCite \textit{E. Bouin} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 245, Article ID 113557, 18 p. (2024; Zbl 07873766) Full Text: DOI
Tsai, Dong-Ho; Nien, Chia-Hsing On a family of nonzero solutions to the heat equation \(u_t=\Delta u\) on \(\mathbb{R}^{n+1}\) which vanish on an arbitrary \(n\)-dimensional hyperplane \(P\subset\mathbb{R}^{n+1}\). (English) Zbl 07872371 Int. J. Math. 35, No. 8, Article ID 2450030, 29 p. (2024). MSC: 35K05 35K15 35A02 35C15 PDFBibTeX XMLCite \textit{D.-H. Tsai} and \textit{C.-H. Nien}, Int. J. Math. 35, No. 8, Article ID 2450030, 29 p. (2024; Zbl 07872371) Full Text: DOI
Liu, Yang Existence and nonexistence of global solutions to the parabolic equations on locally finite graphs. (English) Zbl 07870789 Result. Math. 79, No. 4, Paper No. 164, 26 p. (2024). MSC: 35R02 35B44 35K15 35K58 PDFBibTeX XMLCite \textit{Y. Liu}, Result. Math. 79, No. 4, Paper No. 164, 26 p. (2024; Zbl 07870789) Full Text: DOI
Khodayari-Samghabadi, Samaneh; Mondanizadeh, Maryam; Momeni-Masuleh, Sayed Hodjatollah Implicit extended discontinuous Galerkin scheme for solving singularly perturbed Burgers’ equations. (English) Zbl 07868748 Math. Model. Anal. 29, No. 1, 1-22 (2024). MSC: 65M60 35K67 35K15 35Q53 PDFBibTeX XMLCite \textit{S. Khodayari-Samghabadi} et al., Math. Model. Anal. 29, No. 1, 1--22 (2024; Zbl 07868748) Full Text: DOI
Bruell, Gabriele; Hilder, Bastian; Jansen, Jonas Thermocapillary thin films: periodic steady states and film rupture. (English) Zbl 07867463 Nonlinearity 37, No. 4, Article ID 045016, 39 p. (2024). MSC: 35B36 35B10 35B32 35B35 35D30 35K15 35K59 35K65 70K50 37G15 76A20 PDFBibTeX XMLCite \textit{G. Bruell} et al., Nonlinearity 37, No. 4, Article ID 045016, 39 p. (2024; Zbl 07867463) Full Text: DOI arXiv OA License
Kosmakova, Minzilya; Akhmanova, Danna; Izhanova, Kamila BVP with a load in the form of a fractional integral. (English) Zbl 07866898 Int. J. Math. Math. Sci. 2024, Article ID 7034103, 12 p. (2024). MSC: 35K05 26A33 33C20 35K15 35R09 PDFBibTeX XMLCite \textit{M. Kosmakova} et al., Int. J. Math. Math. Sci. 2024, Article ID 7034103, 12 p. (2024; Zbl 07866898) Full Text: DOI OA License
Cao, Kai Identification of the time-dependent source term in a Kuramoto-Sivashinsky equation. (English) Zbl 07864542 J. Inverse Ill-Posed Probl. 32, No. 3, 361-387 (2024). MSC: 35R30 35K15 65M32 PDFBibTeX XMLCite \textit{K. Cao}, J. Inverse Ill-Posed Probl. 32, No. 3, 361--387 (2024; Zbl 07864542) Full Text: DOI
Canale, Anna Multipolar potentials and weighted Hardy inequalities. (English) Zbl 07862944 Discrete Contin. Dyn. Syst., Ser. S 17, No. 5-6, 2058-2067 (2024). MSC: 35A23 35K15 35K65 35B25 34G10 47D03 PDFBibTeX XMLCite \textit{A. Canale}, Discrete Contin. Dyn. Syst., Ser. S 17, No. 5--6, 2058--2067 (2024; Zbl 07862944) Full Text: DOI arXiv
Poláčik, Peter On bounded radial solutions of parabolic equations on \(\mathbb{R}^N \): quasiconvergence for initial data with a stable limit at infinity. (English) Zbl 07862865 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1573-1587 (2024). MSC: 35K15 35B07 35B40 35K57 PDFBibTeX XMLCite \textit{P. Poláčik}, Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1573--1587 (2024; Zbl 07862865) Full Text: DOI
Endal, Jørgen; Ignat, Liviu I.; Quirós, Fernando Heat equations with fast convection: source-type solutions and large-time behaviour. (English) Zbl 07862860 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1497-1512 (2024). MSC: 35B40 35A01 35A02 35A08 35K15 35K58 60J60 PDFBibTeX XMLCite \textit{J. Endal} et al., Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1497--1512 (2024; Zbl 07862860) Full Text: DOI arXiv
Alfaro, Matthieu; Hamel, François; Roques, Lionel Propagation or extinction in bistable equations: the non-monotone role of initial fragmentation. (English) Zbl 07862858 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1460-1484 (2024). MSC: 35B40 35B51 35K15 35K57 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1460--1484 (2024; Zbl 07862858) Full Text: DOI arXiv
Zhou, Shouming; Zhang, Li On the Cauchy problem for Keller-Segel model with nonlinear chemotactic sensitivity and signal secretion in Besov spaces. (English) Zbl 07861218 Math. Methods Appl. Sci. 47, No. 5, 3651-3674 (2024). MSC: 35B30 35B44 35G25 35K15 35Q92 92C17 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{L. Zhang}, Math. Methods Appl. Sci. 47, No. 5, 3651--3674 (2024; Zbl 07861218) Full Text: DOI
Fujishima, Yohei; Hisa, Kotaro; Ishige, Kazuhiro; Laister, Robert Local solvability and dilation-critical singularities of supercritical fractional heat equations. (English. French summary) Zbl 07860064 J. Math. Pures Appl. (9) 186, 150-175 (2024). MSC: 35K58 35K15 35R11 49K20 PDFBibTeX XMLCite \textit{Y. Fujishima} et al., J. Math. Pures Appl. (9) 186, 150--175 (2024; Zbl 07860064) Full Text: DOI arXiv
Minh, Vo Ngoc; Long, Le Dinh On initial value problem for diffusion equation with Caputo-Fabrizio operator on the plane. (English) Zbl 07856221 Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1293-1309 (2024). MSC: 35R11 35B65 35K15 26A33 PDFBibTeX XMLCite \textit{V. N. Minh} and \textit{L. D. Long}, Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1293--1309 (2024; Zbl 07856221) Full Text: DOI
Ma, Li; Shi, Zizhen On the stability and asymptotic behavior for a quasi-linear parabolic flow. (English) Zbl 07856188 Discrete Contin. Dyn. Syst., Ser. S 17, No. 2, 620-633 (2024). MSC: 35B40 35K15 35K59 35K93 53E10 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Shi}, Discrete Contin. Dyn. Syst., Ser. S 17, No. 2, 620--633 (2024; Zbl 07856188) Full Text: DOI
Kawakami, Tatsuki; Sire, Yannick; Wang, Jiayi Nikki Fujita exponent for the global-in-time solutions to a semilinear heat equation with non-homogeneous weights. (English) Zbl 07854127 J. Evol. Equ. 24, No. 2, Paper No. 44, 24 p. (2024). MSC: 35B33 35K15 35K58 PDFBibTeX XMLCite \textit{T. Kawakami} et al., J. Evol. Equ. 24, No. 2, Paper No. 44, 24 p. (2024; Zbl 07854127) Full Text: DOI
Miyamoto, Yasuhito; Suzuki, Masamitsu Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases. (English) Zbl 07854122 J. Evol. Equ. 24, No. 2, Paper No. 39, 29 p. (2024). MSC: 35R11 35K15 35K58 46E30 PDFBibTeX XMLCite \textit{Y. Miyamoto} and \textit{M. Suzuki}, J. Evol. Equ. 24, No. 2, Paper No. 39, 29 p. (2024; Zbl 07854122) Full Text: DOI
Lappicy, Phillipo; Fernandes, Juliana Unbounded Sturm attractors for quasilinear parabolic equations. (English) Zbl 07852919 Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 542-565 (2024). MSC: 35B40 35B41 35B44 35K15 35K59 37G35 PDFBibTeX XMLCite \textit{P. Lappicy} and \textit{J. Fernandes}, Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 542--565 (2024; Zbl 07852919) Full Text: DOI
Iagar, Razvan Gabriel; Laurençot, Philippe; Sánchez, Ariel Self-similar shrinking of supports and non-extinction for a nonlinear diffusion equation with spatially inhomogeneous strong absorption. (English) Zbl 07852720 Commun. Contemp. Math. 26, No. 6, Article ID 2350028, 42 p. (2024). MSC: 35B40 35A24 35K15 35K65 34D05 PDFBibTeX XMLCite \textit{R. G. Iagar} et al., Commun. Contemp. Math. 26, No. 6, Article ID 2350028, 42 p. (2024; Zbl 07852720) Full Text: DOI arXiv
Chen, Huyuan; Véron, Laurent The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution. (English) Zbl 07852275 J. Funct. Anal. 287, No. 3, Article ID 110470, 73 p. (2024). MSC: 35K15 35A08 PDFBibTeX XMLCite \textit{H. Chen} and \textit{L. Véron}, J. Funct. Anal. 287, No. 3, Article ID 110470, 73 p. (2024; Zbl 07852275) Full Text: DOI arXiv
Wei, Juncheng; Zhang, Qidi; Zhou, Yifu On Fila-King conjecture in dimension four. (English) Zbl 07849975 J. Differ. Equations 398, 38-140 (2024). MSC: 35K58 35B44 35K15 PDFBibTeX XMLCite \textit{J. Wei} et al., J. Differ. Equations 398, 38--140 (2024; Zbl 07849975) Full Text: DOI arXiv
Blochas, Paul; Rodrigues, Luis Miguel Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks. (English) Zbl 07849855 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 3, 615-661 (2024). MSC: 35B35 35L67 35B25 35B40 35K15 35K58 37L15 PDFBibTeX XMLCite \textit{P. Blochas} and \textit{L. M. Rodrigues}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 3, 615--661 (2024; Zbl 07849855) Full Text: DOI arXiv OA License
Konenkov, A. N. Localizing the initial condition for solutions of the Cauchy problem for the heat equation. (English) Zbl 07849826 Comput. Math. Math. Phys. 64, No. 3, 480-489 (2024). MSC: 35K15 35K05 PDFBibTeX XMLCite \textit{A. N. Konenkov}, Comput. Math. Math. Phys. 64, No. 3, 480--489 (2024; Zbl 07849826) Full Text: DOI
Hoshino, Masaki Exact convergence rate of solutions for a semilinear heat equation with a critical and a supercritical exponent revisited. (English) Zbl 07848758 J. Elliptic Parabol. Equ. 10, No. 1, 329-359 (2024). MSC: 35B40 35B33 35K15 35K58 PDFBibTeX XMLCite \textit{M. Hoshino}, J. Elliptic Parabol. Equ. 10, No. 1, 329--359 (2024; Zbl 07848758) Full Text: DOI
Li, Yaling; Wang, Zhiyong Asymptotic upper bound life span estimates for \(L^1\)-solutions of the 2-D Patlak-Keller-Segel equation. (English) Zbl 07848695 J. Math. Anal. Appl. 538, No. 1, Article ID 128366, 12 p. (2024). MSC: 35B44 35K15 35K59 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Z. Wang}, J. Math. Anal. Appl. 538, No. 1, Article ID 128366, 12 p. (2024; Zbl 07848695) Full Text: DOI
Linss, Torsten; Kopteva, Natalia; Radojev, Goran; Ossadnik, Martin A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations. (English) Zbl 1536.65109 ETNA, Electron. Trans. Numer. Anal. 60, 99-122 (2024). MSC: 65M60 35K15 65M15 PDFBibTeX XMLCite \textit{T. Linss} et al., ETNA, Electron. Trans. Numer. Anal. 60, 99--122 (2024; Zbl 1536.65109) Full Text: DOI arXiv Link
Islomov, Bozor Islomovich; Nasirova, Dildora Anvarovna A problem with Gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind. (English) Zbl 07845761 Eurasian Math. J. 15, No. 1, 34-48 (2024). MSC: 35M12 35M10 35K15 35L10 35K10 PDFBibTeX XMLCite \textit{B. I. Islomov} and \textit{D. A. Nasirova}, Eurasian Math. J. 15, No. 1, 34--48 (2024; Zbl 07845761) Full Text: DOI MNR
Huang, Yanghong; Mainini, Edoardo; Vázquez, Juan Luis; Volzone, Bruno Nonlinear aggregation-diffusion equations with Riesz potentials. (English) Zbl 1539.35139 J. Funct. Anal. 287, No. 2, Article ID 110465, 60 p. (2024). MSC: 35K65 35K15 35R09 35R11 49K20 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Funct. Anal. 287, No. 2, Article ID 110465, 60 p. (2024; Zbl 1539.35139) Full Text: DOI arXiv
He, Jia Wei; Zhou, Yong; Alsaedi, Ahmed; Ahmad, Bashir Existence of solutions to a nonlinear fractional diffusion equation with exponential growth. (English) Zbl 1537.35379 Nonlinear Anal., Model. Control 29, No. 2, 286-304 (2024). MSC: 35R11 35K15 47D06 PDFBibTeX XMLCite \textit{J. W. He} et al., Nonlinear Anal., Model. Control 29, No. 2, 286--304 (2024; Zbl 1537.35379) Full Text: Link
Guilberteau, Jules; Pouchol, Camille; Duteil, Nastassia Pouradier Long-time behaviour of an advection-selection equation. (English) Zbl 1537.35065 Discrete Contin. Dyn. Syst., Ser. B 29, No. 7, 3097-3136 (2024). MSC: 35B40 35K15 35K58 35R11 35Q92 PDFBibTeX XMLCite \textit{J. Guilberteau} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 7, 3097--3136 (2024; Zbl 1537.35065) Full Text: DOI arXiv
Hao, Tao A global optimality principle for fully coupled mean-field control systems. (English) Zbl 1536.93978 Acta Math. Appl. Sin., Engl. Ser. 40, No. 2, 379-413 (2024). MSC: 93E20 49N80 60H15 35K15 PDFBibTeX XMLCite \textit{T. Hao}, Acta Math. Appl. Sin., Engl. Ser. 40, No. 2, 379--413 (2024; Zbl 1536.93978) Full Text: DOI
Ruiz Goldstein, Gisèle; Goldstein, Jerome A.; Kömbe, İsmail; Rhandi, Abdelaziz Scaling and instantaneous blow up. (English) Zbl 1537.35106 Quaest. Math. 47, Suppl., S169-S177 (2024). MSC: 35B44 35K05 35K15 35K65 PDFBibTeX XMLCite \textit{G. Ruiz Goldstein} et al., Quaest. Math. 47, S169--S177 (2024; Zbl 1537.35106) Full Text: DOI
Lamm, Tobias; Schneider, Guido Diffusive stability and self-similar decay for the harmonic map heat flow. (English) Zbl 1537.35071 J. Differ. Equations 394, 320-344 (2024). MSC: 35B40 35K15 35K58 PDFBibTeX XMLCite \textit{T. Lamm} and \textit{G. Schneider}, J. Differ. Equations 394, 320--344 (2024; Zbl 1537.35071) Full Text: DOI arXiv
You, Liting; Yin, Jingxue; Luo, Yong Optimal estimate on life span for semilinear heat equations with non-rarefied sources at infinity. (English) Zbl 1537.35107 J. Differ. Equations 394, 278-295 (2024). MSC: 35B44 35C15 35K15 35K58 PDFBibTeX XMLCite \textit{L. You} et al., J. Differ. Equations 394, 278--295 (2024; Zbl 1537.35107) Full Text: DOI
Metoui, Imen On the generalized Ornstein-Uhlenbeck operators with regular and singular potentials in weighted \(L^p\)-spaces. (English) Zbl 07831904 Commun. Korean Math. Soc. 39, No. 1, 149-160 (2024). MSC: 47D60 47D06 35K15 PDFBibTeX XMLCite \textit{I. Metoui}, Commun. Korean Math. Soc. 39, No. 1, 149--160 (2024; Zbl 07831904) Full Text: DOI
Jang, Jiwoong A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting. (English) Zbl 1537.35038 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 36, 16 p. (2024). MSC: 35B27 35B40 35B45 35D40 35K15 35K93 53E10 PDFBibTeX XMLCite \textit{J. Jang}, NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 36, 16 p. (2024; Zbl 1537.35038) Full Text: DOI arXiv
Guo, Rong; Leng, Xuan Dynamical behavior of a degenerate parabolic equation with memory on the whole space. (English) Zbl 1537.35093 Bound. Value Probl. 2024, Paper No. 11, 19 p. (2024). MSC: 35B41 35K15 35K58 35K65 PDFBibTeX XMLCite \textit{R. Guo} and \textit{X. Leng}, Bound. Value Probl. 2024, Paper No. 11, 19 p. (2024; Zbl 1537.35093) Full Text: DOI OA License
Xu, Tianyuan; Ji, Shanming; Mei, Ming; Yin, Jingxue Convergence to sharp traveling waves of solutions for Burgers-Fisher-KPP equations with degenerate diffusion. (English) Zbl 1536.35130 J. Nonlinear Sci. 34, No. 3, Paper No. 44, 19 p. (2024). MSC: 35C07 35K15 35K58 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Nonlinear Sci. 34, No. 3, Paper No. 44, 19 p. (2024; Zbl 1536.35130) Full Text: DOI
Kosloff, Leonardo; Niche, César J.; Planas, Gabriela Decay rates for the 4D energy-critical nonlinear heat equation. (English) Zbl 1536.35066 Bull. Lond. Math. Soc. 56, No. 4, 1468-1482 (2024). MSC: 35B40 35K15 35K58 PDFBibTeX XMLCite \textit{L. Kosloff} et al., Bull. Lond. Math. Soc. 56, No. 4, 1468--1482 (2024; Zbl 1536.35066) Full Text: DOI arXiv
Canale, Anna A class of weighted Hardy type inequalities in \(\mathbb{R}^N\). (English) Zbl 1536.35016 Ric. Mat. 73, No. 1, 619-631 (2024). MSC: 35A23 35K15 35K65 34G10 47D03 PDFBibTeX XMLCite \textit{A. Canale}, Ric. Mat. 73, No. 1, 619--631 (2024; Zbl 1536.35016) Full Text: DOI OA License
Mielke, Alexander; Reichelt, Sina Traveling fronts in a reaction-diffusion equation with a memory term. (English) Zbl 1536.35128 J. Dyn. Differ. Equations 36, No. 1, Suppl., S487-S513 (2024). MSC: 35C07 35B27 35K15 35R09 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{S. Reichelt}, J. Dyn. Differ. Equations 36, No. 1, S487--S513 (2024; Zbl 1536.35128) Full Text: DOI arXiv OA License
Hamel, François; Lutscher, Frithjof; Zhang, Mingmin Propagation phenomena in periodic patchy landscapes with interface conditions. (English) Zbl 1537.35210 J. Dyn. Differ. Equations 36, No. 1, Suppl., S435-S486 (2024). Reviewer: Thomas Giletti (Clermont-Ferrand) MSC: 35K57 35C07 35J60 35K15 92D25 PDFBibTeX XMLCite \textit{F. Hamel} et al., J. Dyn. Differ. Equations 36, No. 1, S435--S486 (2024; Zbl 1537.35210) Full Text: DOI arXiv HAL
Winkler, Michael Approaching critical decay in a strongly degenerate parabolic equation. (English) Zbl 1536.35080 J. Dyn. Differ. Equations 36, No. 1, Suppl., S3-S23 (2024). MSC: 35B40 35K15 35K65 PDFBibTeX XMLCite \textit{M. Winkler}, J. Dyn. Differ. Equations 36, No. 1, S3--S23 (2024; Zbl 1536.35080) Full Text: DOI OA License
Duong, Giao Ky; Ghoul, Tej-Eddine; Zaag, Hatem Gradient blowup profile for the semilinear heat equation. (English) Zbl 1536.35099 Discrete Contin. Dyn. Syst. 44, No. 4, 997-1025 (2024). MSC: 35B44 35B40 35K15 35K58 PDFBibTeX XMLCite \textit{G. K. Duong} et al., Discrete Contin. Dyn. Syst. 44, No. 4, 997--1025 (2024; Zbl 1536.35099) Full Text: DOI arXiv
Alves, Claudianor O.; Boudjeriou, Tahir Global existence for parabolic \(p\)-Laplace equations with supercritical growth in whole \(\mathbb{R}^N\). (English) Zbl 1534.35256 J. Math. Anal. Appl. 535, No. 2, Article ID 128244, 25 p. (2024). MSC: 35K92 35D30 35K15 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{T. Boudjeriou}, J. Math. Anal. Appl. 535, No. 2, Article ID 128244, 25 p. (2024; Zbl 1534.35256) Full Text: DOI
Huang, Honghong; Zhong, Yansheng Nonexistence of solutions for tempered fractional parabolic equations. (English) Zbl 1534.35009 Commun. Pure Appl. Anal. 23, No. 2, 233-252 (2024). MSC: 35B09 35A01 35B53 35K15 35K58 35R11 PDFBibTeX XMLCite \textit{H. Huang} and \textit{Y. Zhong}, Commun. Pure Appl. Anal. 23, No. 2, 233--252 (2024; Zbl 1534.35009) Full Text: DOI
Geng, Qiuping; Wang, Jun Existence of sign-changing solutions for the Hénon type parabolic equation with singular initial data. (English) Zbl 1534.35235 Commun. Pure Appl. Anal. 23, No. 2, 165-194 (2024). MSC: 35K15 34A12 35C06 35K58 PDFBibTeX XMLCite \textit{Q. Geng} and \textit{J. Wang}, Commun. Pure Appl. Anal. 23, No. 2, 165--194 (2024; Zbl 1534.35235) Full Text: DOI
Feng, Xiaoli; Yuan, Xiaoyu; Zhao, Meixia; Qian, Zhi Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. (English) Zbl 1534.65132 Calcolo 61, No. 1, Paper No. 16, 37 p. (2024). MSC: 65M06 65M30 65M32 35K15 35R11 35R25 35R30 65M12 PDFBibTeX XMLCite \textit{X. Feng} et al., Calcolo 61, No. 1, Paper No. 16, 37 p. (2024; Zbl 1534.65132) Full Text: DOI
Akrivis, Georgios; Chen, Minghua; Han, Jianxing; Yu, Fan; Zhang, Zhimin The variable two-step BDF method for parabolic equations. (English) Zbl 1534.65118 BIT 64, No. 1, Paper No. 14, 21 p. (2024). MSC: 65M06 35K15 65L05 65M12 PDFBibTeX XMLCite \textit{G. Akrivis} et al., BIT 64, No. 1, Paper No. 14, 21 p. (2024; Zbl 1534.65118) Full Text: DOI OA License
Chau, Albert; Weinkove, Ben Non-preservation of \(\alpha\)-concavity for the porous medium equation. (English) Zbl 1534.35249 Adv. Math. 440, Article ID 109520, 18 p. (2024). MSC: 35K65 35K15 PDFBibTeX XMLCite \textit{A. Chau} and \textit{B. Weinkove}, Adv. Math. 440, Article ID 109520, 18 p. (2024; Zbl 1534.35249) Full Text: DOI arXiv
Fehrman, Benjamin Stochastic homogenization with space-time ergodic divergence-free drift. (English) Zbl 1534.35015 Ann. Probab. 52, No. 1, 350-380 (2024). MSC: 35B27 35B53 35B65 35K15 60F17 60H25 76M50 PDFBibTeX XMLCite \textit{B. Fehrman}, Ann. Probab. 52, No. 1, 350--380 (2024; Zbl 1534.35015) Full Text: DOI arXiv Link
Durdiev, D. K. Convolution kernel determination problem for the time-fractional diffusion equation. (English) Zbl 1533.35366 Physica D 457, Article ID 133959, 7 p. (2024). Reviewer: Pu-Zhao Kow (Taipei City) MSC: 35R30 35K15 35R09 35R11 PDFBibTeX XMLCite \textit{D. K. Durdiev}, Physica D 457, Article ID 133959, 7 p. (2024; Zbl 1533.35366) Full Text: DOI
Sun, Zezhen Two nonlocal inverse curvature flows of convex closed plane curves. (English) Zbl 1533.35033 Int. J. Math. 35, No. 2, Article ID 2350107, 15 p. (2024). MSC: 35B40 35K15 35K55 53E10 PDFBibTeX XMLCite \textit{Z. Sun}, Int. J. Math. 35, No. 2, Article ID 2350107, 15 p. (2024; Zbl 1533.35033) Full Text: DOI arXiv
Liu, Yarong; Wang, Yejuan; Kloeden, Peter E. A class of stochastic nonlocal evolution equations with nonlocal initial conditions. (English) Zbl 1533.35377 Anal. Appl., Singap. 22, No. 2, 279-309 (2024). MSC: 35R60 35A02 35K15 60H15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Anal. Appl., Singap. 22, No. 2, 279--309 (2024; Zbl 1533.35377) Full Text: DOI
Álvarez, Enrique; Angulo Pava, Jaime; Plaza, Ramón G. Orbital instability of periodic waves for scalar viscous balance laws. (English) Zbl 1534.35022 J. Evol. Equ. 24, No. 1, Paper No. 7, 35 p. (2024). Reviewer: Guobao Zhang (Lanzhou) MSC: 35B35 35C07 35B10 35K15 35K58 35B32 PDFBibTeX XMLCite \textit{E. Álvarez} et al., J. Evol. Equ. 24, No. 1, Paper No. 7, 35 p. (2024; Zbl 1534.35022) Full Text: DOI arXiv OA License
Tang, Hao; Wang, Zhi-An Strong solutions to a nonlinear stochastic aggregation-diffusion equation. (English) Zbl 1533.35378 Commun. Contemp. Math. 26, No. 2, Article ID 2250073, 39 p. (2024). MSC: 35R60 35B40 35K15 35K58 35R09 PDFBibTeX XMLCite \textit{H. Tang} and \textit{Z.-A. Wang}, Commun. Contemp. Math. 26, No. 2, Article ID 2250073, 39 p. (2024; Zbl 1533.35378) Full Text: DOI
Bian, Shen The aggregation-diffusion equation with energy critical exponent. (English) Zbl 1532.35281 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1128-1145 (2024). MSC: 35K65 35A01 35B33 35B44 35K15 35R09 34K21 PDFBibTeX XMLCite \textit{S. Bian}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1128--1145 (2024; Zbl 1532.35281) Full Text: DOI arXiv
Yang, Liu; Deng, Zui-Cha Optimization method for a multi-parameters identification problem in degenerate parabolic equations. (English) Zbl 1532.35541 J. Inverse Ill-Posed Probl. 32, No. 1, 127-144 (2024). MSC: 35R30 35K15 35K65 49J20 PDFBibTeX XMLCite \textit{L. Yang} and \textit{Z.-C. Deng}, J. Inverse Ill-Posed Probl. 32, No. 1, 127--144 (2024; Zbl 1532.35541) Full Text: DOI
Zhao, Tianyu; Yang, Yunlong; Mao, Yueyue; Fang, Jianbo Anisotropic area-preserving nonlocal flow for closed convex plane curves. (English) Zbl 07802634 Adv. Geom. 24, No. 1, 79-98 (2024). MSC: 53A04 35K15 53E10 PDFBibTeX XMLCite \textit{T. Zhao} et al., Adv. Geom. 24, No. 1, 79--98 (2024; Zbl 07802634) Full Text: DOI
Iagar, Razvan Gabriel; Latorre, Marta; Sánchez, Ariel Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction. (English) Zbl 1532.35088 J. Math. Anal. Appl. 533, No. 2, Article ID 128001, 18 p. (2024). MSC: 35B44 35K15 35K59 35K65 PDFBibTeX XMLCite \textit{R. G. Iagar} et al., J. Math. Anal. Appl. 533, No. 2, Article ID 128001, 18 p. (2024; Zbl 1532.35088) Full Text: DOI arXiv OA License
Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. (English) Zbl 1531.65209 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024). MSC: 65M99 35R11 35K55 35K15 33E12 PDFBibTeX XMLCite \textit{A.-K. Alomari} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024; Zbl 1531.65209) Full Text: DOI
Harada, Junichi Existence of blowup solutions to the semilinear heat equation with double power nonlinearity. (English) Zbl 1531.35089 Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 30, 70 p. (2024). MSC: 35B44 35B33 35B40 35K15 35K58 PDFBibTeX XMLCite \textit{J. Harada}, Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 30, 70 p. (2024; Zbl 1531.35089) Full Text: DOI arXiv
Bian, Shen On the Fisher-KPP model with nonlocal nonlinear sources. (English) Zbl 1531.35052 Math. Nachr. 297, No. 1, 144-164 (2024). MSC: 35B40 35B33 35K15 35K57 35R09 PDFBibTeX XMLCite \textit{S. Bian}, Math. Nachr. 297, No. 1, 144--164 (2024; Zbl 1531.35052) Full Text: DOI
Boutillon, Nathanaël Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher-KPP equation. (English) Zbl 1531.35055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113465, 12 p. (2024). MSC: 35B40 35K15 35R09 PDFBibTeX XMLCite \textit{N. Boutillon}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113465, 12 p. (2024; Zbl 1531.35055) Full Text: DOI arXiv
Xu, Jiaohui; Caraballo, Tomás; Valero, José On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians. (English) Zbl 1531.35377 Appl. Math. Optim. 89, No. 1, Paper No. 22, 31 p. (2024). MSC: 35R11 35A15 35B41 35K15 35K65 PDFBibTeX XMLCite \textit{J. Xu} et al., Appl. Math. Optim. 89, No. 1, Paper No. 22, 31 p. (2024; Zbl 1531.35377) Full Text: DOI arXiv
Bonicatto, Paolo; Ciampa, Gennaro; Crippa, Gianluca Weak and parabolic solutions of advection-diffusion equations with rough velocity field. (English) Zbl 1531.35149 J. Evol. Equ. 24, No. 1, Paper No. 1, 16 p. (2024). MSC: 35K15 35D30 35Q49 35R05 PDFBibTeX XMLCite \textit{P. Bonicatto} et al., J. Evol. Equ. 24, No. 1, Paper No. 1, 16 p. (2024; Zbl 1531.35149) Full Text: DOI arXiv OA License
Kim, Sunghoon; Lee, Ki-Ahm; Park, Jinwan Properties of the free boundaries for the obstacle problem of the porous medium equations. (English) Zbl 1530.35372 Adv. Calc. Var. 17, No. 1, 209-235 (2024). MSC: 35R35 35B65 35K15 35K65 PDFBibTeX XMLCite \textit{S. Kim} et al., Adv. Calc. Var. 17, No. 1, 209--235 (2024; Zbl 1530.35372) Full Text: DOI
Julin, Vesa; Niinikoski, Joonas Consistency of the flat flow solution to the volume preserving mean curvature flow. (English) Zbl 07782710 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 1, 58 p. (2024). MSC: 53E10 35K15 PDFBibTeX XMLCite \textit{V. Julin} and \textit{J. Niinikoski}, Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 1, 58 p. (2024; Zbl 07782710) Full Text: DOI arXiv OA License
Porretta, Alessio Decay rates of convergence for Fokker-Planck equations with confining drift. (English) Zbl 1529.35512 Adv. Math. 436, Article ID 109393, 57 p. (2024). MSC: 35Q84 35K15 47G20 41A25 60G51 60G55 35B05 35F21 49L25 35D40 26A33 35R11 PDFBibTeX XMLCite \textit{A. Porretta}, Adv. Math. 436, Article ID 109393, 57 p. (2024; Zbl 1529.35512) Full Text: DOI arXiv
Bui, The Anh; Hisa, Kotaro Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group. arXiv:2408.16985 Preprint, arXiv:2408.16985 [math.AP] (2024). MSC: 35A01 35K15 35R03 35R11 BibTeX Cite \textit{T. A. Bui} and \textit{K. Hisa}, ``Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group'', Preprint, arXiv:2408.16985 [math.AP] (2024) Full Text: arXiv OA License
Sakaguchi, Shigeru Interaction between initial behavior of temperature and the mean curvature of the interface in two-phase heat conductors. arXiv:2408.15539 Preprint, arXiv:2408.15539 [math.AP] (2024). MSC: 35K05 35K10 35K15 35B40 35J05 35B06 44A10 BibTeX Cite \textit{S. Sakaguchi}, ``Interaction between initial behavior of temperature and the mean curvature of the interface in two-phase heat conductors'', Preprint, arXiv:2408.15539 [math.AP] (2024) Full Text: arXiv OA License
Li, Xiaojuan; Hu, Mingshang Maximum principle for stochastic optimal control problem under convex expectation. arXiv:2408.10587 Preprint, arXiv:2408.10587 [math.OC] (2024). MSC: 93E20 60H10 35K15 BibTeX Cite \textit{X. Li} and \textit{M. Hu}, ``Maximum principle for stochastic optimal control problem under convex expectation'', Preprint, arXiv:2408.10587 [math.OC] (2024) Full Text: arXiv OA License
Looi, Shi-Zhuo; Sussman, Ethan Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients. arXiv:2407.20991 Preprint, arXiv:2407.20991 [math.AP] (2024). MSC: 35C20 58J50 35K15 35Q40 BibTeX Cite \textit{S.-Z. Looi} and \textit{E. Sussman}, ``Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients'', Preprint, arXiv:2407.20991 [math.AP] (2024) Full Text: arXiv OA License
Tsutsui, Yohei Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation. arXiv:2407.17704 Preprint, arXiv:2407.17704 [math.CA] (2024). MSC: 42B37 35K15 BibTeX Cite \textit{Y. Tsutsui}, ``Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation'', Preprint, arXiv:2407.17704 [math.CA] (2024) Full Text: arXiv OA License
Auestad, Øyvind Stormark Numerical approximation of linear evolution equations revisited. arXiv:2406.02796 Preprint, arXiv:2406.02796 [math.NA] (2024). MSC: 35A24 35A25 35K15 35K05 65L60 BibTeX Cite \textit{Ø. S. Auestad}, ``Numerical approximation of linear evolution equations revisited'', Preprint, arXiv:2406.02796 [math.NA] (2024) Full Text: arXiv OA License
Duong, Xuan Thinh; Li, Ji; Wu, Liangchuan; Yan, Lixin Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications. arXiv:2405.01791 Preprint, arXiv:2405.01791 [math.AP] (2024). MSC: 42B35 35K15 42B37 BibTeX Cite \textit{X. T. Duong} et al., ``Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications'', Preprint, arXiv:2405.01791 [math.AP] (2024) Full Text: arXiv OA License
Fukuda, Ikki; Sato, Shinya Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion. arXiv:2405.00896 Preprint, arXiv:2405.00896 [math.AP] (2024). MSC: 35B40 35K15 35K55 BibTeX Cite \textit{I. Fukuda} and \textit{S. Sato}, ``Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion'', Preprint, arXiv:2405.00896 [math.AP] (2024) Full Text: arXiv OA License
Gao, Laiyuan; Martini, Horst; Zhang, Deyan Deforming Locally Convex Curves into Curves of Constant \(k\)-order Width. arXiv:2404.05267 Preprint, arXiv:2404.05267 [math.DG] (2024). MSC: 52A10 53A04 53E10 35K15 BibTeX Cite \textit{L. Gao} et al., ``Deforming Locally Convex Curves into Curves of Constant $k$-order Width'', Preprint, arXiv:2404.05267 [math.DG] (2024) Full Text: arXiv OA License
Saplaouras, Alexandros A general and sharp regularity condition for integro-differential equations with non-dominated measures. arXiv:2403.09540 Preprint, arXiv:2403.09540 [math.AP] (2024). MSC: 35B51 35D40 35J15 35J60 35K15 35K55 35K58 47G20 BibTeX Cite \textit{A. Saplaouras}, ``A general and sharp regularity condition for integro-differential equations with non-dominated measures'', Preprint, arXiv:2403.09540 [math.AP] (2024) Full Text: arXiv OA License
Landim, Claudio; Lee, Jungkyoung; Seo, Insuk Metastability and time scales for parabolic equations with drift 2: the general time scale. arXiv:2402.07695 Preprint, arXiv:2402.07695 [math.PR] (2024). MSC: 35K15 60J60 BibTeX Cite \textit{C. Landim} et al., ``Metastability and time scales for parabolic equations with drift 2: the general time scale'', Preprint, arXiv:2402.07695 [math.PR] (2024) Full Text: arXiv OA License
Astuto, Clarissa High order multiscale methods for advection-diffusion equation with highly oscillatory boundary condition. arXiv:2401.12226 Preprint, arXiv:2401.12226 [math.NA] (2024). MSC: 35K15 35K20 35M10 65N06 BibTeX Cite \textit{C. Astuto}, ``High order multiscale methods for advection-diffusion equation with highly oscillatory boundary condition'', Preprint, arXiv:2401.12226 [math.NA] (2024) Full Text: arXiv OA License
Alghamdi, Ahmad M.; Gala, Sadek; Ragusa, Maria Alessandra A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component. (English) Zbl 07894546 Commun. Math. 31, No. 1, 81-89 (2023). MSC: 35Q30 35K15 76D03 PDFBibTeX XMLCite \textit{A. M. Alghamdi} et al., Commun. Math. 31, No. 1, 81--89 (2023; Zbl 07894546) Full Text: DOI arXiv OA License
Durdiev, Durdimurod K.; Nuriddinov, Zhavlon Z. Kernel determination problem for one parabolic equation with memory. (English) Zbl 07882021 Ural Math. J. 9, No. 2, 86-98 (2023). MSC: 35R30 35K15 35R09 PDFBibTeX XMLCite \textit{D. K. Durdiev} and \textit{Z. Z. Nuriddinov}, Ural Math. J. 9, No. 2, 86--98 (2023; Zbl 07882021) Full Text: DOI MNR
Mahiout, Latifa Ait; Yashima, Hisao Fujita Convergence of the solution of a transport-diffusion equation to the solution of a transport equation. (Convergence de la solution d’une équation de transport-diffusion vers la solution d’une équation de transport.) (French. English summary) Zbl 07869698 Afr. Math. Ann. (AFMA) 10, 105-124 (2023). MSC: 35Q49 35K15 35K58 35L03 PDFBibTeX XMLCite \textit{L. A. Mahiout} and \textit{H. F. Yashima}, Afr. Math. Ann. (AFMA) 10, 105--124 (2023; Zbl 07869698)
Durdiev, D. K.; Nuriddinov, J. Z. Uniqueness of the kernel determination problem in a integro-differential parabolic equation with variable coefficients. (English. Russian original) Zbl 07858827 Russ. Math. 67, No. 11, 1-11 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 11, 3-14 (2023). MSC: 35R30 35K15 35R09 PDFBibTeX XMLCite \textit{D. K. Durdiev} and \textit{J. Z. Nuriddinov}, Russ. Math. 67, No. 11, 1--11 (2023; Zbl 07858827); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 11, 3--14 (2023) Full Text: DOI
Guidolin, Patrícia Lisandra; Schütz, Lineia; Ziebell, Juliana Sartori Some properties of solutions of advection-diffusion equations in \(\mathbb{R}\). (English) Zbl 07853400 Mat. Contemp. 56, 20-30 (2023). MSC: 35K15 35A01 35K58 PDFBibTeX XMLCite \textit{P. L. Guidolin} et al., Mat. Contemp. 56, 20--30 (2023; Zbl 07853400) Full Text: DOI
Nizhnikov, Aleksandr Ivanovich; Yaremko, Oleg Èmmanuilovich; Yaremko, Natal’ya Nikolaevich Generalized Laplace transform based on the differentiation operator with piecewise constant coefficients. (Russian. English summary) Zbl 1537.42010 Chebyshevskiĭ Sb. 24, No. 4(90), 239-251 (2023). MSC: 42A38 44A10 35K05 35K15 PDFBibTeX XMLCite \textit{A. I. Nizhnikov} et al., Chebyshevskiĭ Sb. 24, No. 4(90), 239--251 (2023; Zbl 1537.42010) Full Text: DOI MNR
Suslina, Tatiana A. Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients. (English. Russian original) Zbl 1537.35040 Russ. Math. Surv. 78, No. 6, 1023-1154 (2023); translation from Usp. Mat. Nauk 78, No. 6, 47-178 (2023). MSC: 35B27 35J10 35K15 35P05 47D06 PDFBibTeX XMLCite \textit{T. A. Suslina}, Russ. Math. Surv. 78, No. 6, 1023--1154 (2023; Zbl 1537.35040); translation from Usp. Mat. Nauk 78, No. 6, 47--178 (2023) Full Text: DOI MNR