Li, Wenjuan; Gao, Fuzheng; Cui, Jintao Interpolated coefficients stabilizer-free weak Galerkin method for semilinear parabolic convection-diffusion problem. (English) Zbl 07927819 Appl. Math. Lett. 159, Article ID 109268, 7 p. (2025). MSC: 65Nxx 65Mxx 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fengshan; Zou, Yongkui; Chai, Shimin; Cao, Yanzhao A splitting method for nonlinear filtering problems with diffusive and point process observations. (English) Zbl 07952149 Commun. Comput. Phys. 36, No. 4, 996-1020 (2024). MSC: 35K25 35K55 35K91 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, A.; Mahato, H. S. Existence of solution for an optimal control problem in a heterogeneous porous medium. (English) Zbl 07946831 IMA J. Math. Control Inf. 41, No. 2, 328-355 (2024). MSC: 35K57 35B27 35K51 35K91 35Q93 76M50 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Hong-lin; Wang, Xuping; Wen, Cao Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems. (English) Zbl 07945393 J. Comput. Phys. 519, Article ID 113456, 23 p. (2024). MSC: 35K58 65L20 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peng, Shaolong Sliding methods for tempered fractional parabolic problem. (English) Zbl 07930309 Can. J. Math. 76, No. 4, 1358-1378 (2024). MSC: 35R11 35B50 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Baňas, Ľubomír; Mukam, Jean Daniel Improved estimates for the sharp interface limit of the stochastic Cahn-Hilliard equation with space-time white noise. (English) Zbl 07926856 Interfaces Free Bound. 26, No. 4, 563-586 (2024). MSC: 35R60 35K55 35K91 35R35 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoshino, Masaki Optimal and sharp convergence rate of solutions for a semilinear heat equation with a critical exponent and exponentially approaching initial data. (English) Zbl 07920467 J. Dyn. Differ. Equations 36, No. 3, 1981-2005 (2024). MSC: 35B40 35B33 35K15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Benedikt, Jiří; Bobkov, Vladimir; Dhara, Raj Narayan; Girg, Petr Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity. (English) Zbl 07920125 J. Math. Anal. Appl. 540, No. 2, Article ID 128634, 17 p. (2024). MSC: 35R11 35A02 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Kai; Lesnic, Daniel Determination of the time-dependent effective ion collision frequency from an integral observation. (English) Zbl 1544.35204 J. Inverse Ill-Posed Probl. 32, No. 4, 761-793 (2024). MSC: 35R30 35K35 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Nikolaeva, Nadezhda Gennad’evna; Gavrilova, Ol’ga Vital’evna; Manakova, Natal’ya Aleksandrovna Investigation of the uniqueness solution of the Showalter-Sidorov problem for the mathematical Hoff model. Phase space morphology. (English) Zbl 1543.35105 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 1, 49-63 (2024). MSC: 35K70 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Benia, Yassine; Sadallah, Boubaker-Khaled A semilinear non-homogeneous problem related to Korteweg-de Vries equation. (English) Zbl 1542.35338 Proyecciones 43, No. 2, 401-423 (2024). MSC: 35Q53 35K25 35K58 35A01 35A02 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
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 1542.35216 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1573-1587 (2024). MSC: 35K15 35B07 35B40 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Sazaklioglu, Ali Ugur An iterative numerical method for an inverse source problem for a multidimensional nonlinear parabolic equation. (English) Zbl 07856313 Appl. Numer. Math. 198, 428-447 (2024). Reviewer: Abdullah Erdoğan (Lake Worth) MSC: 35R30 35K20 35K58 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Kovaleva, A. M. Bifurcations of spatially inhomogeneous solutions in a modified version of the Kuramoto-Sivashinsky equation. (English. Russian original) Zbl 1543.35022 J. Math. Sci., New York 281, No. 3, 398-411 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 185, 58-71 (2020). MSC: 35B32 35B35 35K35 35K58 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Bortolan, Matheus Cheque; Garcìa-Fuentes, Juan; Fernandes, Juliana; Kalita, Piotr On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth. (English) Zbl 1541.35082 J. Evol. Equ. 24, No. 2, Paper No. 38, 24 p. (2024). MSC: 35B41 35K58 35K90 47D06 × Cite Format Result Cite Review PDF 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 1540.35062 J. Elliptic Parabol. Equ. 10, No. 1, 329-359 (2024). MSC: 35B40 35B33 35K15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Yuldashev, T. K.; Fayziyev, A. K.; Rakhmonov, F. D. Mixed problem for a nonlinear impulsive differential equation of parabolic type. (English) Zbl 1537.35404 Chelyabinskiĭ Fiz.-Mat. Zh. 9, No. 1, 111-123 (2024). MSC: 35R12 35K20 35K58 35R09 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nefedov, N. N. Existence, asymptotics, and Lyapunov stability of solutions of periodic parabolic problems for Tikhonov-type reaction-diffusion systems. (English. Russian original) Zbl 1537.35032 Math. Notes 115, No. 2, 232-239 (2024); translation from Mat. Zametki 115, No. 2, 276-285 (2024). MSC: 35B25 35B10 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Kian, Yavar; Liimatainen, Tony; Lin, Yi-Hsuan On determining and breaking the gauge class in inverse problems for reaction-diffusion equations. (English) Zbl 1537.35414 Forum Math. Sigma 12, Paper No. e25, 42 p. (2024). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35R30 35K20 35K57 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borikhanov, Meiirkhan B.; Torebek, Berikbol T. On inhomogeneous exterior Robin problems with critical nonlinearities. (English) Zbl 1533.35170 J. Differ. Equations 380, 1-23 (2024). MSC: 35J91 35J05 35K20 35L20 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priyadarshana, S.; Mohapatra, J.; Ramos, H. Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms. (English) Zbl 1530.65090 Calcolo 61, No. 1, Paper No. 1, 33 p. (2024). MSC: 65M06 65N06 65N50 65M12 65M15 35K20 35K58 35B25 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Starovoitov, Victor N. Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule. (Russian. English summary) Zbl 07896846 Sib. Èlektron. Mat. Izv. 20, No. 2, 1597-1604 (2023). MSC: 35K58 35D30 35K20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Yuldashev, T. K. Mixed problem for a nonlinear parabolic equation with involution. (English) Zbl 1537.35356 Lobachevskii J. Math. 44, No. 12, 5519-5527 (2023). MSC: 35R10 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Korpusov, M. O.; Perlov, A. Yu.; Timoshenko, A. V.; Shafir, R. S. On the blow-up of the solution of a nonlinear system of equations of a thermal-electrical model. (English. Russian original) Zbl 1536.35102 Math. Notes 114, No. 5, 850-861 (2023); translation from Mat. Zametki 114, No. 5, 759-772 (2023). MSC: 35B44 35K51 35K58 35Q81 × Cite Format Result Cite Review PDF Full Text: DOI
Benguesmia, Amal; Batiha, Iqbal M.; Oussaeif, Taki-Eddine; Ouannas, Adel; Alshanti, Waseem G. Inverse problem of a semilinear parabolic equation with an integral overdetermination condition. (English) Zbl 07814848 Nonlinear Dyn. Syst. Theory 23, No. 3, 249-260 (2023). MSC: 35R30 35K58 70K60 × Cite Format Result Cite Review PDF Full Text: Link
Chaikovskii, Dmitrii; Zhang, Ye Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions. (English) Zbl 1534.35070 IMA J. Appl. Math. 88, No. 4, 525-557 (2023). MSC: 35C20 35B25 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Bo; Wang, Youde Smooth local solutions to Schrödinger flows with damping term for maps into symplectic manifolds. (English) Zbl 1531.35338 Pac. J. Math. 326, No. 2, 187-226 (2023). MSC: 35R01 35K51 35K58 35Q60 58J35 × Cite Format Result Cite Review PDF Full Text: DOI
Amosov, Andrey Nonstationary radiative-conductive heat transfer problem in an absolutely black body with semitransparent inclusions. (English) Zbl 1530.35005 Math. Methods Appl. Sci. 46, No. 4, 4237-4262 (2023). MSC: 35A01 35A02 35B51 35D30 35K20 35K58 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Needham, David J.; Meyer, John C.; Billingham, John; Drysdale, Catherine The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I: Large-time asymptotics. (English) Zbl 1529.35068 Stud. Appl. Math. 150, No. 4, 963-995 (2023). MSC: 35B40 35K58 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Masaki Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent. (English) Zbl 1526.35062 Analysis, München 43, No. 4, 241-253 (2023). MSC: 35B40 35B33 35C20 35K15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Kow, Pu-Zhao; Ma, Shiqi; Sahoo, Suman Kumar An inverse problem for semilinear equations involving the fractional Laplacian. (English) Zbl 1525.35250 Inverse Probl. 39, No. 9, Article ID 095006, 27 p. (2023). MSC: 35R30 35K20 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priyadarshana, S.; Mohapatra, J. An efficient computational technique for time dependent semilinear parabolic problems involving two small parameters. (English) Zbl 1522.65150 J. Appl. Math. Comput. 69, No. 5, 3721-3754 (2023). MSC: 65M06 35K58 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yumin Existence and regularity of global solutions to a Cauchy problem for a square phase-field crystal model. (English) Zbl 1523.35121 Appl. Anal. 102, No. 12, 3362-3373 (2023). MSC: 35D30 35B65 35K30 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Alziary, Bénédicte; Takáč, Peter Monotone methods in counterparty risk models with nonlinear Black-Scholes-type equations. (English) Zbl 1527.35429 S\(\vec{\text{e}}\)MA J. 80, No. 3, 353-379 (2023). MSC: 35Q91 35A16 91G40 35K58 91G60 91G20 65M06 65M60 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priyadarshana, S.; Mohapatra, J.; Pattanaik, S. R. An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag. (English) Zbl 1540.65318 Math. Comput. Simul. 214, 183-203 (2023). MSC: 65M06 65M12 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yihong; Hu, Yuanyang; Liang, Xing A climate shift model with free boundary: enhanced invasion. (English) Zbl 1522.35599 J. Dyn. Differ. Equations 35, No. 1, 771-809 (2023). MSC: 35R35 35K20 35K58 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarshana, S.; Mohapatra, J. Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter. (English) Zbl 07734336 J. Appl. Math. Comput. 69, No. 3, 2439-2463 (2023). MSC: 65-XX 35K58 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Oulmelk, A.; Srati, M.; Afraites, L.; Hadri, A. An artificial neural network approach to identify the parameter in a nonlinear subdiffusion model. (English) Zbl 1522.35562 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107413, 26 p. (2023). MSC: 35R11 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Hisa, Kotaro; Ishige, Kazuhiro; Takahashi, Jin Initial traces and solvability for a semilinear heat equation on a half space of \(\mathbb{R}^N\). (English) Zbl 1521.35110 Trans. Am. Math. Soc. 376, No. 8, 5731-5773 (2023). MSC: 35K58 35A01 35A21 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. (English) Zbl 1521.35214 Potential Anal. 59, No. 2, 497-518 (2023). MSC: 35R60 35B25 35K20 35K58 60H15 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kulikov, A. N.; Kulikov, D. A. Local attractors of one of the original versions of the Kuramoto-Sivashinsky equation. (English. Russian original) Zbl 1519.35035 Theor. Math. Phys. 215, No. 3, 751-768 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 339-359 (2023). MSC: 35B41 35B32 35K35 35K58 37L10 × Cite Format Result Cite Review PDF Full Text: DOI
Kulikov, A. N.; Kulikov, D. A. Local bifurcations of invariant manifolds of the Cahn-Hilliard-Oono equation. (English) Zbl 1520.35008 Lobachevskii J. Math. 44, No. 3, 1003-1017 (2023). MSC: 35B32 35C20 35K35 35K58 37L10 × Cite Format Result Cite Review PDF Full Text: DOI
Kashchenko, S. A.; Tolbey, A. O. Bifurcations in the logistic equation with diffusion and delay in the boundary condition. (English. Russian original) Zbl 1520.35007 Math. Notes 113, No. 6, 869-873 (2023); translation from Mat. Zametki 113, No. 6, 940-944 (2023). MSC: 35B32 35K20 35K58 37L10 × Cite Format Result Cite Review PDF Full Text: DOI
Yi, Huaming; Chen, Yanping; Wang, Yang; Huang, Yunqing A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems. (English) Zbl 1545.65386 Appl. Numer. Math. 189, 1-22 (2023). MSC: 65M60 65M06 65N30 65N55 65H10 65N15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun Error estimates of conforming virtual element methods with a modified symmetric Nitsche’s formula for 2D semilinear parabolic equations. (English) Zbl 1529.65091 J. Sci. Comput. 95, No. 3, Paper No. 69, 34 p. (2023). MSC: 65M60 65M06 65N30 65M15 65N15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Thuy T. Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method. (English) Zbl 1517.35262 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 23-42 (2023). MSC: 35R30 35K20 35K58 65M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coclite, Giuseppe Maria; di Ruvo, Lorenzo On a diffusion model for growth and dispersal in a population. (English) Zbl 1512.35159 Commun. Pure Appl. Anal. 22, No. 4, 1194-1225 (2023). MSC: 35G25 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Balázsová, Monika; Feistauer, Miloslav; Sändig, Anna-Margarete Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder. (English) Zbl 1519.65036 J. Numer. Math. 31, No. 1, 29-42 (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65N30 65N15 35K58 35A01 35A02 35B65 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo \(H^1\) solutions for a Kuramoto-Velarde type equation. (English) Zbl 1509.35111 Mediterr. J. Math. 20, No. 3, Paper No. 110, 26 p. (2023). MSC: 35G25 35K30 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Kagawa, Keiichiro; Ôtani, Mitsuharu The time-periodic problem of the viscous Cahn-Hilliard equation with the homogeneous Dirichlet boundary condition. (English) Zbl 1506.35005 J. Fixed Point Theory Appl. 25, No. 1, Paper No. 40, 27 p. (2023). MSC: 35B10 35K35 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Dahi, Ibrahim; Sidi Ammi, Moulay Rchid Existence of capacity solution for a nonlocal thermistor problem in Musielak-Orlicz-Sobolev spaces. (English) Zbl 1506.35116 Ann. Funct. Anal. 14, No. 1, Paper No. 12, 33 p. (2023). MSC: 35K58 35K20 35R09 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Feketa, P.; Kapustyan, O. V.; Kapustian, O. A.; Korol, I. I. Global attractors of mild solutions semiflow for semilinear parabolic equation without uniqueness. (English) Zbl 1498.35099 Appl. Math. Lett. 135, Article ID 108435, 9 p. (2023). MSC: 35B41 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Sihem, Benamira; Eddine, Oussaeif Taki; Abdelfatah, Bouziani Galerkin finite element method for a semi-linear parabolic equation with purely integral conditions. (English) Zbl 07801856 Bol. Soc. Parana. Mat. (3) 40, Paper No. 68, 15 p. (2022). MSC: 65M60 65M06 65N30 35K57 35B40 35K20 35K55 35K57 35D30 35A15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lanlan; Ye, Yaojun Blow-up of solutions and existence of local solutions for viscoelastic parabolic equations. (English) Zbl 1538.35089 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 23, No. 3, 237-246 (2022). MSC: 35B44 35K55 35K58 35K61 35K70 × Cite Format Result Cite Review PDF
Sun, Xizheng; Liu, Bingchen; Li, Fengjie Fujita exponents for an inhomogeneous parabolic equation with variable coefficients. (English) Zbl 1527.35098 Math. Methods Appl. Sci. 45, No. 11, 7058-7071 (2022). MSC: 35B44 35B33 35B40 35K15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Ho Duy Binh; Vo Viet Tri Mild solutions to a time-fractional diffusion equation with a hyper-Bessel operator have a continuous dependence with regard to fractional derivative orders. (English) Zbl 1518.35631 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 24-38 (2022). MSC: 35R11 35B30 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Abita, Rahmoune Bounds for blow-up solutions of a semilinear pseudo-parabolic equation with a memory term and logarithmic nonlinearity in variable space. (English) Zbl 1518.35461 Math. Scand. 128, No. 3, 553-572 (2022). MSC: 35K70 35B44 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Maslovskaya, Anna; Kuttler, Christina; Chebotarev, Alexander; Kovtanyuk, Andrey Optimal multiplicative control of bacterial quorum sensing under external enzyme impact. (English) Zbl 1516.92021 Math. Model. Nat. Phenom. 17, Paper No. 29, 15 p. (2022). MSC: 92C70 35K58 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Takhirov, J. O.; Umirkhonov, M. T. On wave solutions of the relaxation transport equation. (English) Zbl 1524.35320 Uzb. Math. J. 66, No. 2, 165-169 (2022). MSC: 35K57 35K58 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Fadai, Nabil T.; Billingham, John Non-local effects on travelling waves arising in a moving-boundary reaction-diffusion model. (English) Zbl 1511.35071 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405701, 10 p. (2022). MSC: 35C07 35K58 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Oanh, Nguyen Thi Ngoc A method for choosing the regularization parameter of determining the right-hand side from integral observation. (English) Zbl 1507.35342 Asian-Eur. J. Math. 15, No. 7, Article ID 2250132, 6 p. (2022). MSC: 35R30 35K20 35K58 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Frigeri, Sergio; Lam, Kei Fong; Signori, Andrea Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities. (English) Zbl 1504.35128 Eur. J. Appl. Math. 33, No. 2, 267-308 (2022). MSC: 35D30 35K52 35K58 35R30 49J20 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volkov, V. T.; Nefedov, N. N. Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain. (English. Russian original) Zbl 1504.35036 Comput. Math. Math. Phys. 62, No. 11, 1849-1858 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1851-1860 (2022). MSC: 35B25 35C10 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Court, Sébastien; Kunisch, Karl Design of the monodomain model by artificial neural networks. (English) Zbl 07621930 Discrete Contin. Dyn. Syst. 42, No. 12, 6031-6061 (2022). MSC: 49N45 35D30 35K40 35K45 35K58 35B30 35M99 41A99 49J45 49N15 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jo, Yong-Hyok; Ri, Myong-Hwan Application of Rothe’s method to a parabolic inverse problem with nonlocal boundary condition. (English) Zbl 1538.65316 Appl. Math., Praha 67, No. 5, 573-592 (2022). MSC: 65M32 65M20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Slodička, Marian Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators. (English) Zbl 1501.35428 Inverse Probl. 38, No. 12, Article ID 124001, 19 p. (2022). MSC: 35R09 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Ishige, Kazuhiro; Salani, Paolo; Takatsu, Asuka Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains. (English) Zbl 1501.35020 Commun. Contemp. Math. 24, No. 9, Article ID 2150097, 29 p. (2022). MSC: 35B07 35J25 35K20 35K58 58J32 52A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term. (English) Zbl 1500.35200 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2135-2172 (2022). MSC: 35K52 35K58 35D35 49J20 49K30 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zakharov, Sergey V. Evolution of a multiscale singularity of the solution of the Burgers equation in the 4-dimensional space-time. (English) Zbl 1500.35018 Ural Math. J. 8, No. 1, 136-144 (2022). MSC: 35B25 35K45 35K58 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Ogawa, Takayoshi Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities. (English) Zbl 1498.35536 Asymptotic Anal. 130, No. 1-2, 261-295 (2022). MSC: 35Q79 35K05 35K58 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarshana, S.; Mohapatra, J.; Govindrao, L. An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time. (English) Zbl 1496.65126 J. Appl. Math. Comput. 68, No. 4, 2617-2639 (2022). MSC: 65M06 65M12 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Ait Ben Hassi, El Mustapha; Chorfi, Salah-Eddine; Maniar, Lahcen Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions. (English) Zbl 1498.35611 Inverse Probl. 38, No. 11, Article ID 115007, 28 p. (2022). MSC: 35R30 35K51 35K58 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen Simultaneous recoveries for semilinear parabolic systems. (English) Zbl 1498.35620 Inverse Probl. 38, No. 11, Article ID 115006, 39 p. (2022). MSC: 35R30 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Au, Vo Van; Baleanu, Dumitru; Zhou, Yong; Huu Can, Nguyen On a problem for the nonlinear diffusion equation with conformable time derivative. (English) Zbl 1500.35291 Appl. Anal. 101, No. 17, 6255-6279 (2022). MSC: 35R11 26A33 34B16 35K20 35K58 35R25 47A52 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Nguyen Huy; Tri, Vo Viet; O’Regan, Donal On a nonlinear parabolic equation with fractional Laplacian and integral conditions. (English) Zbl 1498.35594 Appl. Anal. 101, No. 17, 5974-5988 (2022). MSC: 35R11 35B65 26A33 35K20 35K58 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Palencia, José Luis Díaz Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term. (English) Zbl 1497.35085 Int. J. Biomath. 15, No. 7, Article ID 2250044, 19 p. (2022). MSC: 35C07 35K46 35K58 35K91 35K92 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Manohar, Ram; Sinha, Rajen Kumar Elliptic reconstruction and a posteriori error estimates for fully discrete semilinear parabolic optimal control problems. (English) Zbl 1499.49020 J. Comput. Math. 40, No. 2, 147-176 (2022). MSC: 49J20 65J15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Mashiyev, Rabil Ayazoglu; Ekincioglu, Ismail Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity. (English) Zbl 1490.35051 J. Elliptic Parabol. Equ. 8, No. 1, 197-207 (2022). MSC: 35B44 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Dinh Nguyen Duy Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator. (English) Zbl 1487.35224 Commun. Pure Appl. Anal. 21, No. 5, 1715-1734 (2022). MSC: 35K58 35S16 35R25 47J06 60H50 × Cite Format Result Cite Review PDF Full Text: DOI
Daíz Palencia, José Luis Analysis and instabilities of travelling waves solutions for a free boundary problem with non-homogeneous KPP reaction, with degenerate diffusion and with non-linear advection. (English) Zbl 1487.35167 Dyn. Syst. 37, No. 1, 83-104 (2022). MSC: 35C07 35B35 35K30 35K58 35K91 × Cite Format Result Cite Review PDF Full Text: DOI
Mai, Vinh Quang; Nane, Erkan; O’Regan, Donal; Tuan, Nguyen Huy Terminal value problem for nonlinear parabolic equation with Gaussian white noise. (English) Zbl 1486.35269 Electron. Res. Arch. 30, No. 4, 1374-1413 (2022). MSC: 35K58 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Sakthivel, K.; Arivazhagan, A.; Barani Balan, N. Inverse problem for a Cahn-Hilliard type system modeling tumor growth. (English) Zbl 1485.35426 Appl. Anal. 101, No. 3, 858-890 (2022). MSC: 35R30 35B35 35K51 35K58 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Wong, Chi Hong; Yang, Xue; Zhang, Jing Neumann boundary problems for parabolic partial differential equations with divergence terms. (English) Zbl 1493.60103 Potential Anal. 56, No. 4, 723-744 (2022). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 60H15 35R60 31B15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Nguyen Huy On some inverse problem for bi-parabolic equation with observed data in \(L^p\) spaces. (English) Zbl 1484.35417 Opusc. Math. 42, No. 2, 305-335 (2022). MSC: 35R30 35A08 35L35 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Huiran; Zhang, Jiansong; Ji, Bingjie; Yu, Yue; Yu, Yun A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization. (English) Zbl 1524.65542 Comput. Math. Appl. 108, 206-215 (2022). MSC: 65M60 65M12 65N30 65M15 65M55 35K58 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Kurokiba, Masaki; Ogawa, Takayoshi Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving BMO. (English) Zbl 1487.35037 SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 3, 56 p. (2022). Reviewer: Debabrata Karmakar (Bangalore) MSC: 35B25 35K58 35B65 30H25 30H35 92C17 35K45 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Gang Two flow approaches to the Loewner-Nirenberg problem on manifolds. (English) Zbl 1485.35362 J. Geom. Anal. 32, No. 1, Paper No. 7, 30 p. (2022). Reviewer: Ruobing Zhang (Stony Brook) MSC: 35R01 35A01 35J61 35K20 35K58 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nefedov, N. N. On a new type of periodic fronts in Burgers type equations with modular advection. (English) Zbl 1501.35029 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 273-286 (2021). MSC: 35B25 35B10 35B35 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Starovoĭtov, Victor N. Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential. (Russian. English summary) Zbl 1491.35276 Sib. Èlektron. Mat. Izv. 18, No. 2, 1714-1719 (2021). MSC: 35K58 35K20 35Q92 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Polyntseva, Svetlana V.; Spirina, Kira I. The problem of determining of the source function and of the leading coefficient in the many-dimensional semilinear parabolic equation. (English) Zbl 1535.35215 J. Sib. Fed. Univ., Math. Phys. 14, No. 4, 497-506 (2021). MSC: 35R30 35K58 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Yadav, Narendra Singh; Mukherjee, Kaushik On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer. (English) Zbl 1499.65445 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 72, 58 p. (2021). MSC: 65M06 65N06 65M12 35K58 35B25 65B05 × Cite Format Result Cite Review PDF Full Text: DOI
Nakamura, Makoto; Sato, Yuya Existence and non-existence of global solutions for the semilinear complex Ginzburg-Landau type equation in homogeneous and isotropic spacetime. (English) Zbl 1491.35407 Kyushu J. Math. 75, No. 2, 169-209 (2021). MSC: 35Q56 35Q75 35K58 35G20 83F05 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Takhirov, J. O.; Umirkhonov, M. T. On a free boundary problem for a Maxwell fluid. (English) Zbl 1499.35737 Uzb. Math. J. 65, No. 3, 147-158 (2021). MSC: 35R35 35K57 35K58 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela Solvability and sliding mode control for the viscous Cahn-Hilliard system with a possibly singular potential. (English) Zbl 1481.35249 Math. Control Relat. Fields 11, No. 4, 905-934 (2021). MSC: 35K35 35K58 58J35 80A22 93B52 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taliaferro, Steven D. Existence of nonnegative solutions of nonlinear fractional parabolic inequalities. (English) Zbl 1481.35414 J. Evol. Equ. 21, No. 4, 5003-5035 (2021). MSC: 35R45 35B09 35B33 35K58 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Palencia, José An invasive-invaded species dynamics with a high order diffusion operator. (English) Zbl 1480.35280 Dyn. Partial Differ. Equ. 18, No. 4, 257-278 (2021). MSC: 35K46 35K55 35K91 35K92 × Cite Format Result Cite Review PDF Full Text: DOI
Starovoitov, Victor N. Weak solvability of a boundary value problem for a parabolic equation with a global-in-time term that contains a weighted integral. (English) Zbl 1479.35906 J. Elliptic Parabol. Equ. 7, No. 2, 623-634 (2021). MSC: 35R09 35D30 35K20 35K58 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lipton, Alexander; Kaushansky, Vadim; Reisinger, Christoph Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary. (English) Zbl 1479.35534 Eur. J. Appl. Math. 32, No. 6, 1035-1068 (2021). MSC: 35K58 35C20 35Q83 35Q91 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar The tangential cone condition for some coefficient identification model problems in parabolic PDEs. (English) Zbl 1487.35343 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 121-163 (2021). MSC: 35Q53 35Q56 35Q92 35Q60 65J20 65J22 78A46 92C55 74H75 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yang; Chen, Yanping; Huang, Yunqing; Yi, Huaming A family of two-grid partially penalized immersed finite element methods for semi-linear parabolic interface problems. (English) Zbl 1501.65060 J. Sci. Comput. 88, No. 3, Paper No. 80, 39 p. (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 65M60 65H10 65M15 35B45 35B65 35K58 × Cite Format Result Cite Review PDF Full Text: DOI