Karamehmedović, Mirza; Linder-Steinlein, Kristoffer Spectral properties of radiation for the Helmholtz equation with a random coefficient. (English) Zbl 07963383 J. Phys. A, Math. Theor. 58, No. 1, Article ID 015202, 25 p. (2025). MSC: 35Jxx 78-XX × Cite Format Result Cite Review PDF Full Text: DOI
Anthal, G. C.; Giacomoni, J.; Sreenadh, K. Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity. (English) Zbl 07962388 Complex Var. Elliptic Equ. 70, No. 1, 30-68 (2025). MSC: 35J05 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Qing; Guo, Jing; Wang, Dong Computing optimal partition problems via Lagrange multiplier approach. (English) Zbl 07960911 J. Sci. Comput. 102, No. 1, Paper No. 22, 28 p. (2025). MSC: 65M06 65M22 65K10 65H10 05C45 35R09 35B09 49M41 49Q10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Yanzhen; Tang, Shibing; Zhang, Chao Finite difference methods for stochastic Helmholtz equation driven by white noise. (English) Zbl 07958823 J. Comput. Appl. Math. 457, Article ID 116286, 15 p. (2025). MSC: 65N06 65N15 65N12 60H15 60H40 60H50 35B65 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Triki, Faouzi; Linder-Steinlein, Kristoffer; Karamehmedovi, Mirza Stability estimates for the inverse source problem with passive measurements. (English) Zbl 07954224 Inverse Probl. Imaging 19, No. 1, 133-141 (2025). MSC: 34A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sidilkover, David Spurious vorticity in Eulerian and Lagrangian methods. (English) Zbl 07954002 J. Comput. Phys. 520, Article ID 113510, 30 p. (2025). MSC: 76Mxx 65Mxx 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yu; Cheng, Jin; Li, Tingyue; Miao, Yun A learning based numerical method for Helmholtz equations with high frequency. (English) Zbl 07953971 J. Comput. Phys. 520, Article ID 113478, 20 p. (2025). MSC: 65Nxx 35Jxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visbech, Jens; Engsig-Karup, Allan P.; Ricchiuto, Mario A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation. (English) Zbl 07951587 J. Sci. Comput. 102, No. 1, Paper No. 11, 43 p. (2025). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N35 65N30 65N50 65N22 65B05 65D05 65N12 65N15 35B40 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borges, Carlos; Greengard, Leslie; O’Neil, Michael; Rachh, Manas On the construction of scattering matrices for irregular or elongated enclosures using Green’s representation formula. (English) Zbl 07951578 J. Sci. Comput. 102, No. 1, Paper No. 2, 27 p. (2025). MSC: 65Nxx 35Jxx 78Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. On the corrector term in the homogenization of the nonlinear Poisson-Robin problem giving rise to a strange term: application to an optimal control problem. (English) Zbl 07946873 J. Math. Anal. Appl. 543, No. 1, Article ID 128867, 23 p. (2025). MSC: 35J05 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yongshuai; Li, Shuai; Zhong, Peiye Existence and asymptotic behavior of minimizers for rotating Bose-Einstein condensations in bounded domains. (English) Zbl 07946861 J. Math. Anal. Appl. 543, No. 1, Article ID 128833, 21 p. (2025). MSC: 35J05 35J91 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pezzi, Daniel Sharp spectral projection estimates for the torus at \(p=\frac{2(n+1)}{n-1}\). (English) Zbl 07945558 J. Geom. Anal. 35, No. 1, Paper No. 10, 30 p. (2025). MSC: 42A45 42B15 11L07 11H06 11P21 35J05 58J05 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achieng, Pauline; Berntsson, Fredrik; Kozlov, Vladimir Reconstructing of the radiation condition and solution for a variable coefficient Helmholtz equation in a semi-infinite strip from Cauchy data on an interior segment. (English) Zbl 07922174 J. Math. Anal. Appl. 541, No. 1, Article ID 128684, 31 p. (2025). MSC: 35R30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cong; Wang, Jun Normalized cylindrical solutions for the singular equation with combined nonlinearities and the related curl-curl equation. (English) Zbl 07922169 J. Math. Anal. Appl. 541, No. 1, Article ID 128679, 39 p. (2025). MSC: 35J91 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Gang, Bao; Haoran, Ma; Jun, Lai; Jingzhi, Li Shape Taylor expansion for wave scattering problems. arXiv:2501.03719 Preprint, arXiv:2501.03719 [math.NA] (2025). MSC: 35Q61 35J05 35R30 49J50 78M50 × Cite Format Result Cite Full Text: arXiv
Domínguez, Víctor; Turc, Catalin Robust boundary integral equations for the solution of elastic scattering problems via Helmholtz decompositions. (English) Zbl 07967206 Comput. Math. Appl. 175, 152-173 (2024). MSC: 74-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kong, Lingzheng; Zhu, Liyan; Deng, Youjun; Liu, Hongyu Electro-osmotic flow within multilayer microfluidic structures and an algebraic framework for hydrodynamic cloaking and shielding. (English) Zbl 07965187 SIAM J. Appl. Math. 84, No. 6, 2365-2392 (2024). MSC: 76D27 35Q35 35J05 31A10 × Cite Format Result Cite Review PDF Full Text: DOI
Melenk, J. M.; Sauter, S. A. Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with impedance boundary conditions. (English) Zbl 07963967 Found. Comput. Math. 24, No. 6, 1871-1939 (2024). MSC: 35J05 35Q61 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hatcher, Lawford First mixed Laplace eigenfunctions with no hot spots. (English) Zbl 07962896 Proc. Am. Math. Soc. 152, No. 12, 5191-5205 (2024). MSC: 35P05 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Savchenko, A. O. Analogue of Poisson’s formula for the solution of the Helmholtz equation. (English) Zbl 07961374 Comput. Math. Math. Phys. 64, No. 11, 2666-2671 (2024). MSC: 65N99 35J05 42C10 33C10 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Phuong, Nguyen Duc On the stochastic elliptic equations involving fractional derivative. (English) Zbl 07959842 J. Appl. Anal. 30, No. 2, 289-299 (2024). MSC: 35J05 35R60 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Ikehata, Masaru Integrating the probe and singular sources methods. (English) Zbl 07959816 J. Inverse Ill-Posed Probl. 32, No. 6, 1249-1275 (2024). MSC: 35R30 35J05 35J25 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Tianjiao; Xu, Xiang; Zhao, Yue Stability for a multi-frequency inverse random source problem. (English) Zbl 07959441 Inverse Probl. 40, No. 12, Article ID 125029, 25 p., 25 p. (2024). MSC: 35R30 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Montanelli, Hadrien; Collino, Francis; Haddar, Houssem Computing singular and near-singular integrals over curved boundary elements: the strongly singular case. (English) Zbl 07955202 SIAM J. Sci. Comput. 46, No. 6, A3756-A3778 (2024). MSC: 35J05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asensio, Paul; Leblond, Juliette Critical points for least-squares estimation of dipolar sources in inverse problems for Poisson equation. (English) Zbl 07955150 Comput. Methods Funct. Theory 24, No. 4, 865-882 (2024). MSC: 35R30 35J05 35J67 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Turmetov, B. Kh.; Nazarova, K. Zh.; Usmanov, K. I. On some problems of Bitsadze-Samarsky type for the Poisson equation. (English) Zbl 07954526 Lobachevskii J. Math. 45, No. 7, 3444-3452 (2024). MSC: 35J05 35J25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Nikolay On mean value properties involving a logarithm-type weight. (English) Zbl 07953711 Math. Bohem. 149, No. 3, 419-425 (2024). MSC: 31A10 35B05 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Fava, T. C. L.; Massaro, D.; Schlatter, P.; Henningson, D. S.; Hanifi, A. Transition to turbulence on a rotating wind turbine blade at \(Re_c = 3 \times 10^5\). (English) Zbl 07951411 J. Fluid Mech. 999, Paper No. A54, 34 p. (2024). MSC: 76F06 76F40 76E15 76E07 76U05 76F65 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Tataris, Andreas; van Leeuwen, Tristan Reduced order model based nonlinear waveform inversion for the 1D Helmholtz equation. (English) Zbl 07948935 Acta Appl. Math. 194, Paper No. 11, 24 p. (2024). MSC: 65Nxx 35Rxx 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Zijian; Chen, Haibo A class of elliptic problems driven by a mixed local-nonlocal operator. (English) Zbl 07948886 Complex Var. Elliptic Equ. 69, No. 12, 2005-2024 (2024). MSC: 35J61 35J05 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Murro, Simone; Schmid, Gabriel The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states. (English) Zbl 07947542 J. Lond. Math. Soc., II. Ser. 110, No. 5, Article ID e70020, 45 p. (2024). MSC: 35Q61 47F05 81T20 35J05 58J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qingfang Nondegeneracy of the solutions for elliptic problem with critical exponent. (English) Zbl 07946114 Bound. Value Probl. 2024, Paper No. 99, 11 p. (2024). MSC: 35J91 35J05 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Valette, Guillaume On the Laplace equation on bounded subanalytic manifolds. (English) Zbl 07942218 Calc. Var. Partial Differ. Equ. 63, No. 9, Paper No. 236, 20 p. (2024). MSC: 32B20 35J25 35J05 35J92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Xiaodong Layer and stable solutions to a nonlocal model. (English) Zbl 07941358 Commun. Pure Appl. Anal. 23, No. 10, 1367-1388 (2024). MSC: 35J05 35R11 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David; Fillman, Jake One-dimensional Ergodic Schrödinger operators: II. Specific classes (to appear). (English) Zbl 07941153 Graduate Studies in Mathematics 249. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6503-2/hbk; 978-1-4704-7924-4/pbk). (2024). MSC: 58-02 35-02 58J50 58J51 35J05 35Q41 81Q10 37K10 37B02 × Cite Format Result Cite Review PDF
Chahi, Hajar; Hakimi, Said Uniqueness and stability of nonnegative solutions for a class of nonpositone problems in a ball. (English) Zbl 07939460 Monatsh. Math. 205, No. 4, 699-710 (2024). MSC: 35J91 35J05 35A02 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Phuong Rigidity of solutions to elliptic equations with one uniform limit. (English) Zbl 07939434 Arch. Math. 123, No. 5, 531-542 (2024). MSC: 35J91 35J05 35B06 35A02 35B08 × Cite Format Result Cite Review PDF Full Text: DOI
Bakharev, F. L.; Matveenko, S. G. Spectra of the Dirichlet Laplacian in 3-dimensional polyhedral layers. (English. Russian original) Zbl 07939198 St. Petersbg. Math. J. 35, No. 4, 597-610 (2024); translation from Algebra Anal. 35, No. 4, 1-19 (2023). MSC: 35J05 35J25 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandyopadhyay, Shalmali; Chhetri, Maya; Delgado, Briceyda B.; Mavinga, Nsoki; Pardo, Rosa Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary. (English) Zbl 07938845 J. Differ. Equations 411, 28-50 (2024). MSC: 35J05 35J65 35J61 35A01 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sybil, Yu. M. On the boundary integral equation method of solving boundary value problems for the two dimensional Laplace equation. (English) Zbl 07938364 Mat. Stud. 62, No. 1, 60-76 (2024). MSC: 35J05 35J25 31A10 × Cite Format Result Cite Review PDF Full Text: DOI
Boukarabila, Siham; Primo, Ana; Younes, Abdelbadie Singular elliptic problem with super-quadratic growth in the gradient. (English) Zbl 07938259 Complex Var. Elliptic Equ. 69, No. 11, 1811-1827 (2024). MSC: 35J75 35J05 35J91 35J25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Galkowski, Jeffrey; Lafontaine, David; Spence, Euan A. Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. (English) Zbl 07937562 IMA J. Numer. Anal. 44, No. 4, 1946-2069 (2024). MSC: 65Mxx 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Meng-Hui; Tang, Chun-Lei Multiplicity of normalized solutions for dipolar Gross-Pitaevskii equation with a mass subcritical perturbation. (English) Zbl 07936967 J. Fixed Point Theory Appl. 26, No. 4, Paper No. 41, 25 p. (2024). MSC: 35J05 35J91 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
de Paula Ramos, Gustavo; Siciliano, Gaetano Existence and concentration of semiclassical bound states for a quasilinear Schrödinger-Poisson system. (English) Zbl 07935941 Bull. Malays. Math. Sci. Soc. (2) 47, No. 6, Paper No. 180, 26 p. (2024). MSC: 35J47 35J92 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Qianyun; Chen, Jiaolong Schwarz lemma for the solutions to the Dirichlet problems for the invariant Laplacians. (English) Zbl 07935932 Bull. Malays. Math. Sci. Soc. (2) 47, No. 6, Paper No. 171, 21 p. (2024). MSC: 35J05 35J25 31B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dees, Josh; Jacquier, Antoine; Laizet, Sylvain Unsupervised random quantum networks for PDEs. (English) Zbl 07935507 Quantum Inf. Process. 23, No. 10, Paper No. 325, 36 p. (2024). MSC: 81P68 81P68 65M99 65Y20 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erneta, Iñigo U.; Soria-Carro, María Lipschitz regularity for Poisson equations involving measures supported on \(C^{1,\text{Dini}}\) interfaces. (English) Zbl 07933943 Commun. Partial Differ. Equations 49, No. 9, 805-831 (2024). MSC: 35J05 35J25 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruiz, David Conformal metrics of the disk with prescribed Gaussian and geodesic curvatures. (English) Zbl 07932326 Math. Ann. 390, No. 1, 1049-1075 (2024). MSC: 35J05 35J91 35J66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hojas, Vicente A.; Pérez-Arancibia, Carlos; Sánchez, Manuel A. Reflectionless discrete perfectly matched layers for higher-order finite difference schemes. (English) Zbl 07931271 SIAM J. Sci. Comput. 46, No. 5, A3094-A3123 (2024). MSC: 65M06 78A50 78M20 35J05 65M60 65N30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lerer, Bar; Ben-Yair, Ido; Treister, Eran Multigrid-augmented deep learning preconditioners for the Helmholtz equation using compact implicit layers. (English) Zbl 07931242 SIAM J. Sci. Comput. 46, No. 5, S123-S144 (2024). MSC: 65N55 65N22 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peng, Fa The boundedness of stable solutions to semilinear elliptic equations with linear lower bound on nonlinearities. (English) Zbl 07931192 Int. Math. Res. Not. 2024, No. 8, 6350-6373 (2024). MSC: 35J91 35J05 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xiaolong Hans; He, Yuxin; Hong, Han Large Steklov eigenvalues on hyperbolic surfaces. (English) Zbl 07930932 Math. Z. 308, No. 2, Paper No. 37, 21 p. (2024). MSC: 30F10 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gariboldi, Claudia M.; Tarzia, Domingo A. A review of optimal control problems for elliptic variational and hemivariational inequalities and their asymptotic behaviors. (English) Zbl 07928431 Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 59-88 (2024). MSC: 49J40 49J20 49J45 35J05 35J65 35J87 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Ruigang; Zhang, Qianru; Lu, Benzhuo An inverse averaging finite element method for solving the size-modified Poisson-Nernst-Planck equations in ion channel simulations. (English) Zbl 07927767 Commun. Comput. Phys. 36, No. 2, 521-550 (2024). MSC: 35J05 35J61 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berge, Stine Marie Kuttler-Sigillito inequalities and Rellich-Christianson identity. (English) Zbl 07927015 Stud. Math. 277, No. 1, 45-63 (2024). MSC: 35P15 35J05 35J25 47A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vieira, Nelson; Ferreira, Milton; Rodrigues, M. Manuela; Kraußhar, Rolf Sören Hypercomplex operator calculus for the fractional Helmholtz equation. (English) Zbl 07926837 Math. Methods Appl. Sci. 47, No. 14, 11439-11472 (2024). MSC: 35R11 30G35 26A33 35J05 35A08 30E20 45P05 × Cite Format Result Cite Review PDF Full Text: DOI
Ngom, Mame Gor; Faye, Ibrahima; Seck, Diaraf On shape and topological optimization problems with constraints Helmholtz equation and spectral problems. (English) Zbl 07925729 Results Appl. Math. 23, Article ID 100474, 22 p. (2024). MSC: 49Q10 74P15 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischbacher, Christoph; Gesztesy, Fritz; Nichols, Roger A Bessel analog of the Riesz composition formula. (English) Zbl 07925644 Comput. Methods Funct. Theory 24, No. 3, 547-573 (2024). MSC: 35J05 35J08 35A08 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Dongyang; Zhang, Houchao Convergence analysis of nonconforming quadrilateral finite element methods for nonlinear coupled Schrödinger-Helmholtz equations. (English) Zbl 07924443 J. Comput. Math. 42, No. 4, 979-998 (2024). MSC: 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Rasulov, Abdujabbor; Raimova, Gulnora Monte Carlo solution of semi-linear Helmholtz boundary value problem. (English) Zbl 1547.65008 Vlachos, Dimitrios (ed.), Mathematical modeling in physical sciences. 12th IC-MSQUARE, Belgrade, Serbia, August 28–31, 2023. Cham: Springer. Springer Proc. Math. Stat. 446, 489-502 (2024). MSC: 65C05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhan, Yaqian; Hu, Zhongbo; Kou, Jisheng; Hong, Nan; Su, Qinghua A constrained differential evolution algorithm for calculation of two-phase equilibria at given volume, temperature and moles. (English) Zbl 07923413 J. Comput. Phys. 518, Article ID 113320, 15 p. (2024). MSC: 90Cxx 65Nxx 76Txx × Cite Format Result Cite Review PDF Full Text: DOI
Ganguly, Debdip; Gupta, Diksha; Sreenadh, K. On a class of elliptic equations with critical perturbations in the hyperbolic space. (English) Zbl 07922729 Asymptotic Anal. 138, No. 4, 225-253 (2024). MSC: 35J61 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Itzá Balam, Reymundo; Uh Zapata, Miguel; Montalvo-Urquizo, Jonathan Global second-order immersed interface Poisson solver using zero-order local truncation errors. (English) Zbl 07922499 Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 83, 35 p. (2024). MSC: 65N06 65N22 65N12 65N15 35J05 35J25 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Zisong; Wang, Yixiao; Zhang, Shuohan; Huang, Wei-Xi; Xu, Chun-Xiao Influence of outer large-scale motions on near-wall structures in compressible turbulent channel flows. (English) Zbl 07921962 J. Fluid Mech. 994, Paper No. A14, 26 p. (2024). MSC: 76F40 76F50 76F65 76M20 76N06 × Cite Format Result Cite Review PDF Full Text: DOI
Letrouit, Cyril; Machado, Simon Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces. (English) Zbl 07921927 Geom. Funct. Anal. 34, No. 5, 1609-1645 (2024). Reviewer: Claude Zuily (Orsay) MSC: 58J05 53C21 35J05 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadybekov, Makhmud; Turmetov, Batirkhan Boundary value problems for differential equations with a high-order derivative in the boundary condition. (English) Zbl 07917954 Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 187-194 (2024). MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
De Marchis, Francesca; Fourti, Habib; Ianni, Isabella Sharp boundary concentration for a two-dimensional nonlinear Neumann problem. (English) Zbl 07916678 Nonlinearity 37, No. 10, Article ID 105014, 38 p. (2024). MSC: 35J05 35J65 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Granados, Govanni; Harris, Isaac Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations. (English) Zbl 1547.35195 Appl. Anal. 103, No. 11, 2015-2037 (2024). MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Renjin; Lin, Fanghua Riesz transform on exterior Lipschitz domains and applications. (English) Zbl 1547.35196 Adv. Math. 453, Article ID 109852, 48 p. (2024). MSC: 35J05 35J25 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonazzoli, Marcella; Claeys, Xavier Multidomain FEM-BEM coupling for acoustic scattering. (English) Zbl 07915542 J. Integral Equations Appl. 36, No. 2, 129-167 (2024). MSC: 31B10 35J05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Jie; Miao, Qing Multiple solutions of a nonlocal problem with nonlinear boundary conditions. (English) Zbl 1545.35054 Discrete Dyn. Nat. Soc. 2024, Article ID 3621001, 11 p. (2024). MSC: 35J66 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, Messoud; Vougalter, Vitali On the solvability of some systems of integro-differential equations with transport and concentrated sources. (English) Zbl 1547.35193 Complex Var. Elliptic Equ. 69, No. 9, 1506-1522 (2024). MSC: 35J05 45K05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Yesypenko, Anna; Martinsson, Per-Gunnar SlabLU: a two-level sparse direct solver for elliptic PDEs. (English) Zbl 1547.65185 Adv. Comput. Math. 50, No. 4, Paper No. 90, 28 p. (2024). MSC: 65N35 65N06 65N30 65N22 65F05 65F50 65F55 65Y05 65Y10 15A23 15B52 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Yuxiao; Cheng, Jin; Leung, Shingyu; Burridge, Robert; Qian, Jianliang Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms. (English) Zbl 1547.65164 J. Sci. Comput. 100, No. 3, Paper No. 79, 42 p. (2024). MSC: 65M80 65T50 65Y20 35J05 35J08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Yasuhiro Fast wavefield evaluation method based on modified proxy-surface-accelerated interpolative decomposition for two-dimensional scattering problems. (English) Zbl 1547.65187 JSIAM Lett. 16, 61-64 (2024). MSC: 65N38 78A45 78M15 78M16 65D05 41A50 31A10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novikov, Roman; Lal Sharma, Basant Inverse source problem for discrete Helmholtz equation. (English) Zbl 1547.35773 Inverse Probl. 40, No. 10, Article ID 105005, 17 p. (2024). MSC: 35R30 35J08 78A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Youjun; Kong, Lingzheng; Liu, Hongyu; Zhu, Liyan On field concentration between nearly-touching multiscale inclusions in the quasi-static regime. (English) Zbl 07908873 Adv. Appl. Math. Mech. 16, No. 5, 1252-1276 (2024). MSC: 35J25 35C20 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Ahrami, Mohammed; El Allali, Zakaria Optimizing the first eigenvalue of nonlinear quantum graphs. (English) Zbl 1544.34037 Gulf J. Math. 17, No. 1, 29-43 (2024). MSC: 34B45 34L15 35J05 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Lamaizi, A.; Zerouali, A.; Chakrone, O.; Karim, B. Global existence and blow-up of solutions for a class of Steklov parabolic problems. (English) Zbl 07905328 Bol. Soc. Parana. Mat. (3) 42, Paper No. 49, 12 p. (2024). MSC: 35K55 35K61 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Francisco J.; Marquéz Albés, Ignacio; Tojo, Fernández On second-order linear Stieltjes differential equations with non-constant coefficients. (English) Zbl 07903475 Open Math. 22, Article ID 20240018, 34 p. (2024). MSC: 26A24 34A12 34A30 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Kow, Pu-Zhao; Salo, Mikko; Shahgholian, Henrik A minimization problem with free boundary and its application to inverse scattering problems. (English) Zbl 07902359 Interfaces Free Bound. 26, No. 3, 415-471 (2024). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35R35 35R30 35J15 35J20 35J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Oliveira, Diego S.; Marrocos, Marcus A. M. A note about the generic irreducibility of the spectrum of the Laplacian on homogeneous spaces. (English) Zbl 1546.35031 Manuscr. Math. 175, No. 1-2, 143-154 (2024). MSC: 35J05 58J05 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zheng; Guo, Bin A counter-example for Laplacian with data in Orlicz space. (English) Zbl 1547.35201 Appl. Math. Lett. 158, Article ID 109240, 3 p. (2024). MSC: 35J05 35B99 × Cite Format Result Cite Review PDF Full Text: DOI
Zakradze, Mamuli; Tabagari, Zaza; Mirianashvili, Manana; Koblishvili, Nana; Davitashvili, Tinatin On the solution of Dirichlet generalized and classical spatial harmonic problems by the MPS in neighborhood of the considered domain surface. (English) Zbl 1545.35038 Bull. TICMI 28, No. 1, 11-21 (2024). MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: Link
Bellido, José Carlos; Cueto, Javier; Foss, Mikil D.; Radu, Petronela Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients. (English) Zbl 07898805 Appl. Math. Optim. 90, No. 1, Paper No. 16, 49 p. (2024). MSC: 26B20 31B10 35C15 41A35 42B20 45A05 45E10 45P05 46N20 47G10 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Exner, Pavel; Kondej, Sylwia; Lotoreichik, Vladimir Bound states of weakly deformed soft waveguides. (English) Zbl 1545.35216 Asymptotic Anal. 138, No. 3, 151-174 (2024). MSC: 35Q99 81Q37 81Q10 81V25 35P15 35J05 35C20 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Droniou, Jérôme; Manzini, Gianmarco; Yemm, Liam The extended virtual element method for elliptic problems with weakly singular solutions. (English) Zbl 07897548 Comput. Methods Appl. Mech. Eng. 429, Article ID 117129, 16 p. (2024). MSC: 65N30 35J05 35J25 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nazarov, S. A.; Ruotsalainen, K. M.; Uusitalo, P. J. Scattering coefficients and threshold resonances in a waveguide with uniform inflation of the resonator. (English. Russian original) Zbl 1547.35204 J. Math. Sci., New York 283, No. 4, 617-640 (2024); translation from Zap. Nauchn. Semin. POMI 506, 175-209 (2021). MSC: 35J05 35J25 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Zlobina, E. A. Diffraction of short waves by a contour with a Hölder singularity of the curvature. Transition zone. (English. Russian original) Zbl 1547.35209 J. Math. Sci., New York 283, No. 4, 522-531 (2024); translation from Zap. Nauchn. Semin. POMI 506, 43-56 (2021). MSC: 35J05 35L05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Muratbekova, Moldir; Karachik, Valery; Turmetov, Batirkhan Bitsadze-Samarsky type problems with double involution. (English) Zbl 1547.35203 Bound. Value Probl. 2024, Paper No. 86, 21 p. (2024). MSC: 35J05 35J25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Durdiev, Durdimurod K.; Suyarov, Tursunbek R. Inverse coefficient problem for the 2D wave equation with initial and nonlocal boundary conditions. (English) Zbl 07896370 Vladikavkaz. Mat. Zh. 26, No. 2, 5-25 (2024). MSC: 35P05 47F05 35A01 35A24 35J05 35P30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Chandler-Wilde, S. N.; Spence, E. A. Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. (English) Zbl 07896224 Numer. Math. 156, No. 4, 1325-1384 (2024). MSC: 35J05 35J25 35A08 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tleubergenov, M. I.; Vassilina, G. K.; Azhymbaev, D. T. Stochastic Helmholtz problem and convergence almost surely. (English) Zbl 1542.60039 Lobachevskii J. Math. 45, No. 3, 1287-1295 (2024). MSC: 60H10 34F05 × 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
Merzon, A.; Zhevandrov, P.; De la Paz Méndez, J. E.; Romero Rodríguez, M. I. Explicit solution of a Dirichlet problem in nonconvex angle. (English. Russian original) Zbl 07895086 J. Math. Sci., New York 283, No. 1, 93-110 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 4, 653-670 (2022). MSC: 78Axx 35Jxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Charles, Laurent Landau levels on a compact manifold. (Niveaux de Landau sur une variété compacte.) (English. French summary) Zbl 1545.35035 Ann. Henri Lebesgue 7, 69-121 (2024). MSC: 35J05 58J05 35P05 47L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayele, Tsegaye G.; Demissie, Bizuneh M.; Mikhailov, Sergey E. Boundary-domain integral equations for variable-coefficient Helmholtz BVPs in 2D. (English) Zbl 1547.35189 J. Math. Sci., New York 280, No. 3, Series A, 330-355 (2024). MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O. Stability analysis of a time-delayed van der Pol-Helmholtz-Duffing oscillator in fractal space with a non-perturbative approach. (English) Zbl 1544.34057 Commun. Theor. Phys. 76, No. 4, Article ID 045003, 10 p. (2024). MSC: 34C15 26A33 34A08 34D20 34D30 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry On the limiting amplitude principle for the wave equation with variable coefficients. (English) Zbl 1544.35106 Commun. Partial Differ. Equations 49, No. 4, 333-380 (2024). MSC: 35L05 35L10 35J05 35B10 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Nucci, Carmine; Michele, Simone; Di Risio, Marcello Decomposition of the mechanical stress tensor: from the compressible Navier-Stokes equation to a turbulent potential flow model. (English) Zbl 1546.76080 Acta Mech. 235, No. 7, 4639-4656 (2024). MSC: 76N06 76F50 76M45 × Cite Format Result Cite Review PDF Full Text: DOI