Boukraa, Mohamed Aziz; Caillé, Laëtitia; Delvare, Franck Fading regularization method for an inverse boundary value problem associated with the biharmonic equation. (English) Zbl 07958822 J. Comput. Appl. Math. 457, Article ID 116285, 19 p. (2025). MSC: 65N21 65N80 65K10 31A30 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongru; Papalexandris, Miltiadis V. Convergence analysis and applicability of a domain decomposition method with nonlocal interface boundary conditions. (English) Zbl 07958814 J. Comput. Appl. Math. 457, Article ID 116276, 25 p. (2025). MSC: 65N55 65N35 65T50 65Y05 65N25 65N12 68W30 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Long; Huang, Xuehai A new \(\operatorname{div}\operatorname{div}\)-conforming symmetric tensor finite element space with applications to the biharmonic equation. (English) Zbl 07929940 Math. Comput. 94, No. 351, 33-72 (2025). MSC: 65N30 65N12 65N15 58J10 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papadimitriou, Christos Integral means of solutions of the one-dimensional Poisson equation with Robin boundary conditions. (English) Zbl 07923644 J. Math. Anal. Appl. 541, No. 2, Article ID 128706, 14 p. (2025). Reviewer: Guglielmo Feltrin (Udine) MSC: 34B60 34B08 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gallistl, Dietmar; Tian, Shudan A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators. (English) Zbl 07963394 SMAI J. Comput. Math. 10, 355-372 (2024). MSC: 65N30 65N15 35B25 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pandey, Gourav; Bhandakkar, Tanmay K. Novel semi-analytical solution strategy for stress analysis of linear elastic half-plane containing an isolated hole. (English) Zbl 07960821 Z. Angew. Math. Phys. 75, No. 6, Paper No. 238, 23 p. (2024). MSC: 35Q74 74B05 74M15 74G70 31A30 42A38 65N99 × Cite Format Result Cite Review PDF Full Text: DOI
Alsalti-Baldellou, Àdel; Janna, Carlo; Álvarez-Farré, Xavier; Trias, F. Xavier A multigrid reduction framework for domains with symmetries. (English) Zbl 07959773 SIAM J. Sci. Comput. 46, No. 6, B860-B883 (2024). MSC: 65N55 65F08 65F50 65Y05 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qi; Zhang, Lu An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations. (English) Zbl 07957224 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1725-1754 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 31A30 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Saks, R. S. Sobolev-Weyl spaces of potential and vortex fields. (English) Zbl 07954464 Lobachevskii J. Math. 45, No. 6, 2770-2778 (2024). MSC: 35Q35 76D03 76D07 76D17 35P05 31A30 47A13 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Donghao; Papadopoulos, Panayiotis A robust cut-cell finite element method for Poisson’s equation in three dimensions. (English) Zbl 07954116 Int. J. Numer. Methods Eng. 125, No. 23, Article ID e7577, 20 p. (2024). MSC: 65N30 65D05 65N12 41A15 35J05 52C22 × Cite Format Result Cite Review PDF Full Text: DOI
Reif, Ulrich Sobolev regularity of bivariate isogeometric finite element spaces in case of a geometry map with degenerate corner. (English) Zbl 07948901 Adv. Comput. Math. 50, No. 6, Paper No. 108, 16 p. (2024). MSC: 65N30 65N50 41A10 41A29 31A30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Fangyu; Gao, Yuetian; Han, Zeye Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schrödinger equation. (English) Zbl 07943321 Nonlinearity 37, No. 12, Article ID 125015, 28 p. (2024). MSC: 35Q55 35Q41 35J35 35J91 31A30 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Andrade, João Henrique; do Ó, João Marcos Asymptotics for singular solutions to conformally invariant fourth order systems in the punctured ball. (English) Zbl 07941389 J. Differ. Equations 413, 190-239 (2024). Reviewer: Marius Ghergu (Dublin) MSC: 35J30 31A30 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gryshchuk, Serhii Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra. (English. Ukrainian original) Zbl 07939851 Ukr. Math. J. 76, No. 4, 542-558 (2024); translation from Ukr. Mat. Zh. 76, No. 4, 487-501 (2024). MSC: 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Oğuz, Gencay Poisson’s equation for Abel-ergodic theorems. (English) Zbl 07930076 Complex Anal. Oper. Theory 18, No. 7, Paper No. 162, 9 p. (2024). MSC: 47A35 46B15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Peijin; Li, Yaxiang; Ponnusamy, Saminathan On the solutions to the weighted biharmonic equation in the unit disk. (English) Zbl 07925452 Monatsh. Math. 205, No. 2, 279-307 (2024). MSC: 31A30 35J30 × Cite Format Result Cite Review PDF Full Text: DOI
Munnier, Alexandre Reconstruction of obstacles in a Stokes flow as a shape-from-moments problem. (English) Zbl 07924641 Inverse Probl. Imaging 18, No. 6, 1343-1365 (2024). MSC: 35R30 76D07 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casteras, Jean-Baptiste; Holopainen, Ilkka Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds. (English) Zbl 07920470 J. Dyn. Differ. Equations 36, No. 3, 2057-2092 (2024). MSC: 35Q55 35Q41 35P25 35J30 31A30 35B44 35A01 43A85 43A90 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Yan; Guo, Yukun; Zhao, Yue Inverse source problem of the biharmonic equation from multifrequency phaseless data. (English) Zbl 1546.65099 SIAM J. Sci. Comput. 46, No. 5, A2799-A2818 (2024). MSC: 65N21 65N80 65N35 35R30 30C45 31A30 33C10 35A01 35A02 74J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaśkowiec, Jan; Sukumar, N. Penalty-free discontinuous Galerkin method. (English) Zbl 1546.65111 Int. J. Numer. Methods Eng. 125, No. 12, Article ID e7472, 40 p. (2024). MSC: 65N30 65K10 65N12 65F10 65F20 31A30 35J15 74B10 74B20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Jun; Liang, Yizhou; Ma, Rui; Zhang, Min A family of conforming finite element divdiv complexes on cuboid meshes. (English) Zbl 1545.65365 Numer. Math. 156, No. 4, 1603-1638 (2024). MSC: 65M60 65M06 65N30 65N50 65N15 65N12 31A30 83C22 35Q76 × Cite Format Result Cite Review PDF Full Text: DOI
Siipola, Janne Generalization error in the deep Ritz method with smooth activation functions. (English) Zbl 07895210 Commun. Comput. Phys. 35, No. 3, 761-815 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N35 65N99 65K10 65C05 65N12 65N15 35A35 35J05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dan; Wang, Chunmei; Wang, Junping An extension of the Morley element on general polytopal partitions using weak Galerkin methods. (English) Zbl 1543.65194 J. Sci. Comput. 100, No. 1, Paper No. 27, 24 p. (2024). MSC: 65N30 65N12 65N15 35B45 35J50 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajaiej, Hichem; Luo, Yongming; Song, Lingjie On existence and stability results for normalized ground states of mass-subcritical biharmonic nonlinear Schrödinger equation on \(\mathbb{R}^{d} \times \mathbb{T}^{n}\). (English) Zbl 1543.35216 SIAM J. Math. Anal. 56, No. 4, 4415-4439 (2024). MSC: 35Q55 35Q41 35Q40 31A30 78A50 35B35 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shutovskyi, A. M. Some asymptotic properties of solutions to triharmonic equations. (English. Ukrainian original) Zbl 1545.31001 Cybern. Syst. Anal. 60, No. 3, 472-479 (2024); translation from Kibern. Sist. Anal. 60, No. 3, 152-160 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 31A30 26A16 × Cite Format Result Cite Review PDF Full Text: DOI
An, JinMyong; Kim, JinMyong; Ryu, PyongJo Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation. (English) Zbl 1543.35214 Discrete Contin. Dyn. Syst., Ser. B 29, No. 8, 3326-3345 (2024). MSC: 35Q55 35Q41 35A01 35A02 31A30 46E35 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harrabi, Abdellaziz; Hamdani, Mohamed Karim; Fiscella, Alessio On a \(m(x)\)-polyharmonic Kirchhoff problem without any growth near 0 and Ambrosetti-Rabinowitz conditions. (English) Zbl 07871986 Math. Methods Appl. Sci. 47, No. 11, 8490-8499 (2024). MSC: 35A15 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Chao; Ryan, John Green’s formulas and Poisson’s equation for bosonic Laplacians. (English) Zbl 07869445 Math. Methods Appl. Sci. 47, No. 10, 7850-7861 (2024). MSC: 35J05 35J08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khaleghi, Ali; Razani, Abdolrahman Multiple solutions for a class of biharmonic nonlocal elliptic systems. (English) Zbl 1540.31005 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 31, 15 p. (2024). MSC: 31B30 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bouhoufani, Oulia; Messaoudi, Salim A.; Alahyane, Mohamed On a biharmonic coupled system with non-standard nonlinearity: existence, blow up and numerics. (English) Zbl 1540.35424 Asymptotic Anal. 138, No. 1-2, 69-99 (2024). MSC: 35Q99 31A30 35B44 35D30 35A01 35A02 65M60 65M06 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Bo; Jing, Ruijiang SCTBEM: a scaled coordinate transformation boundary element method with 99-line Matlab code for solving Poisson’s equation. (English) Zbl 07853514 Comput. Phys. Commun. 300, Article ID 109185, 15 p. (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carriero, Michele; Leaci, Antonio; Tomarelli, Franco Almansi decomposition and expansion of a polyharmonic function near a crack-tip. (English) Zbl 1537.31001 J. Convex Anal. 31, No. 2, 379-409 (2024). MSC: 31A30 × Cite Format Result Cite Review PDF Full Text: Link
Glynn, Peter W.; Infanger, Alex Solution representations for Poisson’s equation, martingale structure, and the Markov chain central limit theorem. (English) Zbl 1534.60114 Stoch. Syst. 14, No. 1, 47-68 (2024). MSC: 60J76 60G44 60J10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Picardello, Massimo A.; Salvatori, Maura; Woess, Wolfgang Polyharmonic potential theory on the Poincaré disk. (English) Zbl 1536.31009 J. Funct. Anal. 286, No. 9, Article ID 110362, 37 p. (2024). MSC: 31A30 35A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 1534.65232 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Zewen; Serkh, Kirill Rapid evaluation of Newtonian potentials on planar domains. (English) Zbl 1534.65271 SIAM J. Sci. Comput. 46, No. 1, A609-A628 (2024). MSC: 65R20 65D32 65N38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jin; Cheng, Yongling Spectral collocation method for convection-diffusion equation. (English) Zbl 1534.65204 Demonstr. Math. 57, Article ID 20230110, 13 p. (2024). MSC: 65M70 65D05 41A25 41A50 31A30 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential. (English) Zbl 1533.65190 Commun. Math. Stat. 12, No. 1, 15-43 (2024). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65Z05 35R09 76T30 74K15 31A30 76M22 74S25 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Ovall, Jeffrey S.; Reynolds, Samuel E. Evaluation of inner products of implicitly defined finite element functions on multiply connected planar mesh cells. (English) Zbl 1545.65446 SIAM J. Sci. Comput. 46, No. 1, A338-A359 (2024). MSC: 65N30 65N38 65E05 30E20 31A10 31A30 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daly, Fraser On Stein’s method for stochastically monotone single-birth chains. (English) Zbl 1534.60093 Stat. Probab. Lett. 206, Article ID 109993, 6 p. (2024). Reviewer: Sam Olesker-Taylor (Coventry) MSC: 60J10 60E15 60F05 62E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ming-Sheng; Ponnusamy, Saminathan Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings. (English) Zbl 1536.30073 Can. Math. Bull. 67, No. 1, 152-165 (2024). MSC: 30G20 31A05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chávez, Alan; Khalil, Kamal; Pereyra, Alejandro; Pinto, Manuel Compact almost automorphic solutions to Poisson’s and heat equations. (English) Zbl 1532.35024 Bull. Malays. Math. Sci. Soc. (2) 47, No. 2, Paper No. 43, 22 p. (2024). MSC: 35B15 43A60 46N20 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Heping; Li, Peijun A novel boundary integral formulation for the biharmonic wave scattering problem. (English) Zbl 1534.65260 J. Sci. Comput. 98, No. 2, Paper No. 42, 29 p. (2024). Reviewer: Olaf Hansen (San Marcos) MSC: 65N38 65N35 65R20 45L05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lian, Yuanyuan; Zhang, Kai A note on the BMO and Calderón-Zygmund estimate. (English) Zbl 1531.35102 Collect. Math. 75, No. 1, 1-8 (2024). MSC: 35B65 35B45 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ming-Sheng; Wang, Xin; Kou, Kit Ian Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings. (English) Zbl 1530.31001 Monatsh. Math. 203, No. 1, 175-198 (2024). MSC: 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hervé, Loïc; Ledoux, James Explicit bounds for spectral theory of geometrically ergodic Markov kernels and applications. (English) Zbl 1530.60059 Bernoulli 30, No. 1, 581-609 (2024). MSC: 60J10 62E17 60K25 × Cite Format Result Cite Review PDF Full Text: DOI
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 1530.65155 J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024). MSC: 65N30 65N12 65N15 78A25 78M10 31A30 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Ming Xin; Wang, Jian Fei; Tang, Xiao Min Boundary Schwarz lemma of the unit ball in \(\mathbb{R}^n\) satisfying Poisson’s equation. (Chinese. English summary) Zbl 07931711 Acta Math. Sin., Chin. Ser. 66, No. 4, 717-726 (2023). MSC: 32H02 30C55 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Yan; Guo, Yukun An optimization method for the inverse scattering problem of the biharmonic wave. (English) Zbl 07918195 Commun. Anal. Comput. 1, No. 2, 168-182 (2023). MSC: 65N21 65R30 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Álvarez-Peña, C.; Morais, J.; Michael Porter, R. Reduced-quaternion inframonogenic functions on the ball. (English) Zbl 1536.31020 Math. Methods Appl. Sci. 46, No. 18, 18935-18951 (2023). MSC: 31B30 31A30 33C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yan; Li, Ruo; Liu, Qicheng An arbitrary order reconstructed discontinuous approximation to biharmonic interface problem. (English) Zbl 07814781 Ann. Appl. Math. 39, No. 2, 149-180 (2023). MSC: 65N30 31A30 35B45 35J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auchmuty, Giles Planar biharmonic vector fields; potentials and traces. (English) Zbl 1534.35126 Ann. Math. Sci. Appl. 8, No. 3, 413-426 (2023). MSC: 35J40 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez, D.; Nazarov, S. A.; Pérez-Martínez, M.-E. Pointwise fixation along the edge of a Kirchhoff plate. (English. Russian original) Zbl 1534.35128 J. Math. Sci., New York 277, No. 4, 545-564 (2023); translation from Zap. Nauchn. Semin. POMI 493, 107-137 (2020). MSC: 35J40 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bialecki, Bernard; Fisher, Nick Orthogonal spline collocation for Poisson’s equation with Neumann boundary conditions. (English) Zbl 1538.65578 Int. J. Numer. Anal. Model. 20, No. 6, 832-854 (2023). MSC: 65N35 65F05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 1531.65245 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201-3250 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J15 35J60 65N12 65N15 35B45 35B65 31A30 76A15 82D30 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Guangbin; Zhang, Lizheng Almansi decomposition of polynomials of quaternionic Dirac operators. (English) Zbl 1531.31004 J. Math. Phys. 64, No. 12, Article ID 121512, 15 p. (2023). MSC: 31A30 43A85 × Cite Format Result Cite Review PDF Full Text: DOI
Boukraa, Mohamed Aziz; Amdouni, Saber; Delvare, Franck Fading regularization FEM algorithms for the Cauchy problem associated with the two-dimensional biharmonic equation. (English) Zbl 1538.65469 Math. Methods Appl. Sci. 46, No. 2, 2389-2412 (2023). MSC: 65N21 65N30 65N12 65N15 65N20 65N22 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Kelong; Wang, Cheng; Wise, Steven M. High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. (English) Zbl 1535.65218 Numer. Methods Partial Differ. Equations 39, No. 5, 4007-4029 (2023). MSC: 65M70 65M06 65N35 35B65 41A21 31A30 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Spectral approximation for optimal control problems governed by first bi-harmonic equation. (English) Zbl 1535.65294 Numer. Methods Partial Differ. Equations 39, No. 4, 2808-2822 (2023). MSC: 65N35 65N30 65N12 65N15 31A30 49K20 49M41 93C20 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Xiu; Zhang, Shangyou Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes. (English) Zbl 1538.65565 Commun. Appl. Math. Comput. 5, No. 4, 1323-1338 (2023). MSC: 65N30 65N15 65N12 31A30 35J35 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. (English) Zbl 1528.65103 SIAM J. Numer. Anal. 61, No. 5, 2460-2484 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N12 65N15 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Mingqing; Huang, Jianguo; Huang, Xuehai A robust lower-order mixed finite element method for a strain gradient elastic model. (English) Zbl 1527.65126 SIAM J. Numer. Anal. 61, No. 5, 2237-2260 (2023). MSC: 65N30 65N12 65N15 65N22 74B10 35B65 31A30 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drygaś, Piotr; Mityushev, Vladimir Lattice sums for double periodic polyanalytic functions. (English) Zbl 1531.31003 Anal. Math. Phys. 13, No. 5, Paper No. 75, 27 p. (2023). MSC: 31A30 11M36 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Hui; Zhang, Mengyuan Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 1538.65343 Comput. Math. Appl. 149, 211-220 (2023). MSC: 65M60 65M12 65M15 65L06 35L65 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Plaksa, S. A.; Shpakivs’kyĭ, V. S. Integral theorems in finite-dimensional commutative algebra. (Ukrainian. English summary) Zbl 1538.30169 Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 911-946 (2023). MSC: 30G35 35J05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Compaan, E.; Tzirakis, N. Low regularity well-posedness for dispersive equations on semi-infinite intervals. (English) Zbl 1522.35463 Commun. Pure Appl. Anal. 22, No. 8, 2481-2500 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 31A30 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jinpeng; Liu, Yuanyuan; Zhao, Yiqiang Q. Matrix-analytic methods for solving Poisson’s equation with applications to Markov chains of GI/G/1-type. (English) Zbl 1523.60126 SIAM J. Matrix Anal. Appl. 44, No. 3, 1122-1145 (2023). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J10 60J22 60J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouzenada, A.; Boumali, A.; Serdouk, F. Thermal properties of the 2D Klein-Gordon oscillator in a cosmic string space-time. (English. Russian original) Zbl 1530.81061 Theor. Math. Phys. 216, No. 1, 1055-1067 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 169-183 (2023). MSC: 81Q05 32A37 83F05 83E30 80A10 78A30 31A30 03E02 81P17 × Cite Format Result Cite Review PDF Full Text: DOI
Sogn, Jarle; Takacs, Stefan Multigrid solvers for isogeometric discretizations of the second biharmonic problem. (English) Zbl 1521.31006 Math. Models Methods Appl. Sci. 33, No. 9, 1803-1828 (2023). MSC: 31A30 31B30 35J50 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gryshchuk, S. V.; Plaksa, S. A. Biharmonic problem for an angle and monogenic functions. (English. Ukrainian original) Zbl 1521.31005 Ukr. Math. J. 74, No. 11, 1686-1700 (2023); translation from Ukr. Mat. Zh. 74, No. 11, 1478-1491 (2022). MSC: 31A30 35J40 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Z.; Mascotto, L. \(hp\)-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 1529.65122 J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023). MSC: 65N30 65N50 65N12 65N15 31A30 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hussain, Javed; Fatah, Abdul Semigroup approach to global well-posedness of the biharmonic Newell-Whitehead-Segel equation. (English) Zbl 1524.31001 J. Math. Ext. 17, No. 1, Paper No. 7, 18 p. (2023). MSC: 31A05 47H20 35A01 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Rui M. P.; Duque, José C. M.; Ferreira, Jorge; Panni, Willian S. Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator. (English) Zbl 07692016 Comput. Math. Appl. 139, 57-67 (2023). MSC: 65N30 65N12 65N15 35J40 35J35 35J60 35P30 35G30 31A30 35A01 35A02 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Xi; Liu, Ming-Sheng Landau-Bloch type theorems for certain subclasses for polyharmonic mappings. (English) Zbl 1516.31006 Comput. Methods Funct. Theory 23, No. 2, 303-325 (2023). MSC: 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Tadi, M.; Radenkovic, M. A unified solution method for linear elliptic Cauchy problems. (English) Zbl 1524.65738 Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023). MSC: 65N21 35J05 31A30 78A46 65K10 65J20 65N06 65N80 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Lingxia; Wu, Zongmin; Xiang, Hua Quantum radial basis function method for the Poisson equation. (English) Zbl 1522.81055 J. Phys. A, Math. Theor. 56, No. 22, Article ID 225303, 23 p. (2023). MSC: 81P68 68Q12 35J05 65D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsai, Chia-Cheng; Hematiyan, M. R. Degenerate kernels of polyharmonic and poly-Helmholtz operators in polar and spherical coordinates. (English) Zbl 1521.35089 Eng. Anal. Bound. Elem. 148, 137-152 (2023). MSC: 35J05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kharkevych, Yu. I. Exact values of the approximations of differentiable functions by Poisson-type integrals. (English. Ukrainian original) Zbl 1512.42001 Cybern. Syst. Anal. 59, No. 2, 274-282 (2023); translation from Kibern. Sist. Anal. 59, No. 2, 112-121 (2023). MSC: 42A10 41A30 41A65 45P05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 1521.65118 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Jinmyong; Ryu, Pyongjo; Kim, Jinmyong Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces. (English) Zbl 1512.35528 Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2789-2802 (2023). MSC: 35Q55 35Q41 78A60 35B65 35A01 35A02 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 1538.65475 Comput. Math. Appl. 136, 44-53 (2023). MSC: 65N25 65N30 31A30 74K20 74H15 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Jikun; Mao, Shipeng; Zhang, Bei; Wang, Fei The interior penalty virtual element method for the biharmonic problem. (English) Zbl 1511.65132 Math. Comput. 92, No. 342, 1543-1574 (2023). MSC: 65N30 65F35 65N85 65N12 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Gallistl, Dietmar Mixed methods and lower eigenvalue bounds. (English) Zbl 1514.65160 Math. Comput. 92, No. 342, 1491-1509 (2023). MSC: 65N25 65N30 76D07 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corfdir, Alain; Bonnet, Guy Degenerate scales for thin elastic plates with Dirichlet boundary conditions. (English) Zbl 1516.31005 Acta Mech. 234, No. 4, 1503-1532 (2023). MSC: 31A30 35J40 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Costa, David G.; de Figueiredo, Djairo G.; Moreira dos Santos, Ederson; Miyagaki, Olimpio Hiroshi Fractional Sobolev spaces of symmetric functions and applications to Hamiltonian elliptic systems. (English) Zbl 1519.46020 Pure Appl. Funct. Anal. 8, No. 1, 171-185 (2023). MSC: 46E35 46E30 31B30 31A30 35J30 35J40 × Cite Format Result Cite Review PDF Full Text: Link
Yue, Junhong; Li, Peijun; Yuan, Xiaokai; Zhu, Xiaopeng A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures. (English) Zbl 1509.78003 Results Appl. Math. 17, Article ID 100350, 11 p. (2023). MSC: 78A45 78A40 74J20 74K20 65N30 65N15 78M10 74S05 31A30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Voigtlaender, Felix The universal approximation theorem for complex-valued neural networks. (English) Zbl 1528.41050 Appl. Comput. Harmon. Anal. 64, 33-61 (2023). MSC: 41A30 30E10 31A30 41A63 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Peng; Xie, Shenglan; Wang, Xiaoshen A stabilizer-free \(C^0\) weak Galerkin method for the biharmonic equations. (English) Zbl 1509.65120 Sci. China, Math. 66, No. 3, 627-646 (2023). MSC: 65N30 65N15 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Peijin; Li, Yaxiang; Luo, Qinghong; Ponnusamy, Saminathan On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations. (English) Zbl 1509.31004 Mediterr. J. Math. 20, No. 3, Paper No. 142, 12 p. (2023). MSC: 31A30 35J40 30C62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dong; Sire, Yannick Remarks on the Bernstein inequality for higher order operators and related results. (English) Zbl 1505.35303 Trans. Am. Math. Soc. 376, No. 2, 945-967 (2023). MSC: 35Q35 35Q86 86A05 35B53 35B65 35B09 42B25 42B35 31A30 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, C. S.; Noorizadegan, Amir; Young, D. L.; Chen, Chuin-Shan On the determination of locating the source points of the MFS using effective condition number. (English) Zbl 1505.65307 J. Comput. Appl. Math. 423, Article ID 114955, 15 p. (2023). MSC: 65N80 65N85 65F35 65F20 65N20 65N15 35J05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Minqiang; Shi, Chungang A Hessian recovery-based finite difference method for biharmonic problems. (English) Zbl 1524.65870 Appl. Math. Lett. 137, Article ID 108503, 7 p. (2023). MSC: 65N30 65N12 65N50 65N15 35J40 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Capistrano-Filho, Roberto de A.; Cavalcante, Márcio; Gallego, Fernando A. Controllability for Schrödinger type system with mixed dispersion on compact star graphs. (English) Zbl 1504.35423 Evol. Equ. Control Theory 12, No. 1, 1-19 (2023). MSC: 35Q41 35Q55 31A30 35G30 35R02 93B05 93B07 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnston, William; Moore, Sara; Wahl, Rebecca G. Harmonic Functions on Four Dimensions. arXiv:2311.17033 Preprint, arXiv:2311.17033 [math.CV] (2023). MSC: 31A05 31A30 × Cite Format Result Cite Full Text: arXiv
Elvey-Price, Andrew; Nessmann, Andreas; Raschel, Kilian Logarithmic terms in discrete heat kernel expansions in the quadrant. arXiv:2309.15209 Preprint, arXiv:2309.15209 [math.CO] (2023). MSC: 05A16 05A15 05C81 31A30 35K08 × Cite Format Result Cite Full Text: arXiv OA License
Khalfallah, Adel; Mhamdi, Mohamed The first partial derivatives of generalized harmonic functions. arXiv:2304.12838 Preprint, arXiv:2304.12838 [math.CV] (2023). MSC: 31A30 31A05 35J25 × Cite Format Result Cite Full Text: arXiv
Geuchen, Paul; Voigtlaender, Felix Optimal approximation using complex-valued neural networks. arXiv:2303.16813 Preprint, arXiv:2303.16813 [math.FA] (2023). MSC: 68T07 41A30 41A63 31A30 30E10 × Cite Format Result Cite Full Text: arXiv OA License
Bellazzini, Jacopo; Forcella, Luigi Dynamics of solutions to the Gross-Pitaevskii equation describing dipolar Bose-Einstein condensates. (English) Zbl 07920776 Georgiev, Vladimir (ed.) et al., Qualitative properties of dispersive PDEs. Based on the presentations at the workshop, Rome, September 2021. Singapore: Springer. Springer INdAM Ser. 52, 25-57 (2022). MSC: 35Q55 82D05 82C10 35B40 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Veaskevich, Vladimir Leont’evich A polyharmonic equation on the sphere in the three-dimensional space. (Russian. English summary) Zbl 1539.31002 Mat. Zamet. SVFU 29, No. 3, 22-31 (2022). MSC: 31A30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Afrouzi, Ghasem A.; Barilla, David; Caristi, Giuseppe; Moradi, Shahin One solution for nonlocal fourth order equations. (English) Zbl 07801815 Bol. Soc. Parana. Mat. (3) 40, Paper No. 27, 13 p. (2022). MSC: 35J35 35J40 31A30 × Cite Format Result Cite Review PDF Full Text: DOI