# zbMATH — the first resource for mathematics

## SIAM Journal on Mathematical Analysis

 Short Title: SIAM J. Math. Anal. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0036-1410; 1095-7154/e Online: http://epubs.siam.org/loi/sjmaah Comments: Indexed cover-to-cover
 Documents Indexed: 5,425 Publications (since 1970) References Indexed: 1,163 Publications with 39,258 References.
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#### Latest Issues

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#### Authors

 23 Miller, Willard jun. 22 Wei, Juncheng 21 Rahman, Mizan 20 Friedman, Avner 19 Yang, Tong 17 Carlson, Bille Chandler 17 Ismail, Mourad El-Houssieny 16 Colton, David Lem 16 Xin, Zhouping 15 Logan, Benjamin F. 14 Chen, Xinfu 14 Gripenberg, Gustaf 14 Kalnins, Ernest G. 13 Krylov, Nicolaĭ Vladimirovich 13 Payne, Lawrence Edward 13 Showalter, Ralph E. 12 Huang, Feimin 12 Jüngel, Ansgar 12 Troy, William C. 12 Vessella, Sergio 12 Wong, Roderick Sue-Chuen 11 Du, Yihong 11 Fonseca, Irene 11 Frid, Hermano 11 Gasper, George Jun 11 Ha, Seung-Yeal 11 Hannsgen, Kenneth B. 11 Levine, Howard Allen 11 Liu, Jianguo 11 Mei, Ming 11 Müller, Stefan 11 Saut, Jean-Claude 11 Zumbrun, Kevin R. 10 Ammari, Habib M. 10 Carlitz, Leonard 10 Chen, Gui-Qiang G. 10 Hu, Bei 10 Laurençot, Philippe 10 Nevai, Paul G. 10 Renardy, Michael 10 Weinstein, Michael I. 10 Winkler, Michael 9 Bertsch, Michiel 9 Chui, Charles Kam-tai 9 Cohen, Albert 9 Dolezal, Vaclav 9 Elcrat, Alan R. 9 Hastings, Stuart P. 9 Kim, Jong Uhn 9 Koornwinder, Tom H. 9 Markowich, Peter Alexander 9 Novaga, Matteo 9 Otto, Felix 9 Shen, Zuowei 9 Staffans, Olof Johan 9 Wang, Yi 9 Ward, Joseph Dinneen 9 Wu, Jianhong 9 Zhu, Changjiang 8 Askey, Richard Allen 8 Babuška, Ivo 8 Bandle, Catherine 8 Beretta, Elena 8 Daubechies, Ingrid Chantal 8 de la Llave, Rafael 8 Dunster, T. M. 8 Geronimo, Jeffrey S. 8 Jiang, Song 8 Kang, Kyungkeun 8 Linares, Felipe 8 Mikelić, Andro 8 Muldoon, Martin E. 8 Olver, Frank William John 8 Pelinovsky, Dmitry Efimovich 8 Ren, Xiaofeng 8 Saff, Edward Barry 8 Sandstede, Björn 8 Vasseur, Alexis F. 8 Zhao, Xiao-Qiang 7 Alessandrini, Giovanni 7 Bal, Guillaume 7 Bulíček, Miroslav 7 Bustoz, Joaquin jun. 7 Dafermos, Constantine M. 7 Damlamian, Alain 7 Dong, Hongjie 7 Elliott, Charles M. 7 Feireisl, Eduard 7 Garcke, Harald 7 Giga, Yoshikazu 7 Han, Bin 7 Krall, Allan M. 7 Lasiecka, Irena 7 Naylor, Derek 7 Nguyen, Toan Trong 7 Nishiura, Yasumasa 7 Nohel, John A. 7 Päivärinta, Lassi 7 Pedregal, Pablo 7 Pego, Robert L. ...and 5,325 more Authors
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#### Fields

 3,086 Partial differential equations (35-XX) 892 Fluid mechanics (76-XX) 809 Ordinary differential equations (34-XX) 423 Special functions (33-XX) 394 Calculus of variations and optimal control; optimization (49-XX) 380 Mechanics of deformable solids (74-XX) 329 Operator theory (47-XX) 329 Numerical analysis (65-XX) 303 Harmonic analysis on Euclidean spaces (42-XX) 301 Dynamical systems and ergodic theory (37-XX) 291 Integral equations (45-XX) 287 Biology and other natural sciences (92-XX) 279 Approximations and expansions (41-XX) 275 Statistical mechanics, structure of matter (82-XX) 212 Probability theory and stochastic processes (60-XX) 167 Optics, electromagnetic theory (78-XX) 159 Functional analysis (46-XX) 140 Integral transforms, operational calculus (44-XX) 127 Functions of a complex variable (30-XX) 127 Global analysis, analysis on manifolds (58-XX) 120 Real functions (26-XX) 103 Classical thermodynamics, heat transfer (80-XX) 89 Mechanics of particles and systems (70-XX) 85 Quantum theory (81-XX) 83 Potential theory (31-XX) 80 Information and communication theory, circuits (94-XX) 72 Differential geometry (53-XX) 67 Systems theory; control (93-XX) 62 Measure and integration (28-XX) 58 Difference and functional equations (39-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 41 Operations research, mathematical programming (90-XX) 38 Combinatorics (05-XX) 35 Sequences, series, summability (40-XX) 35 Geophysics (86-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Computer science (68-XX) 25 Abstract harmonic analysis (43-XX) 24 Statistics (62-XX) 23 Convex and discrete geometry (52-XX) 22 Number theory (11-XX) 22 Topological groups, Lie groups (22-XX) 19 Astronomy and astrophysics (85-XX) 12 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Relativity and gravitational theory (83-XX) 8 Group theory and generalizations (20-XX) 8 General topology (54-XX) 7 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX)

#### Citations contained in zbMATH Open

4,674 Publications have been cited 63,944 times in 45,199 Documents Cited by Year
Homogenization and two-scale convergence. Zbl 0770.35005
Allaire, Grégoire
1992
A general convergence result for a functional related to the theory of homogenization. Zbl 0688.35007
Nguetseng, Gabriel
1989
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1998
Boundary integral operators on Lipschitz domains: Elementary results. Zbl 0644.35037
Costabel, Martin
1988
Discretized fractional calculus. Zbl 0624.65015
Lubich, Ch.
1986
Persistence in infinite-dimensional systems. Zbl 0692.34053
Hale, Jack K.; Waltman, Paul
1989
Long-time behavior of a class of biological models. Zbl 0529.92010
Weinberger, H. F.
1982
Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028
Weinstein, Michael I.
1985
Persistence under relaxed point-dissipativity (with application to an endemic model). Zbl 0774.34030
Thieme, Horst R.
1993
Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034
Beretta, Edoardo; Kuang, Yang
2002
A geometric approach to global-stability problems. Zbl 0873.34041
Li, Michael Y.; Muldowney, James S.
1996
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
2010
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
2005
Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058
Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G.
2010
Decomposition of Hardy functions into square integrable wavelets of constant shape. Zbl 0578.42007
Grossmann, A.; Morlet, J.
1984
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093
Constantin, Peter; Wu, Jiahong
1999
Nonhomogeneous viscous incompressible fluids: Existence of velocity, density, and pressure. Zbl 0702.76039
Simon, Jacques
1990
On the Cahn-Hilliard equation with degenerate mobility. Zbl 0856.35071
Elliott, Charles M.; Garcke, Harald
1996
Extending geometric singular perturbation theory to nonhyperbolic points – fold and canard points in two dimensions. Zbl 1002.34046
Krupa, M.; Szmolyan, P.
2001
Starlike and prestarlike hypergeometric functions. Zbl 0567.30009
Carlson, B. C.; Shaffer, Dorothy B.
1984
Some additional remarks on the nonexistence of global solutions to nonlinear wave equations. Zbl 0243.35069
Levine, Howard A.
1974
Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere. Zbl 0658.34023
Hirsch, Morris W.
1985
Systems of differential equations which are competitive or cooperative. I: Limit sets. Zbl 0494.34017
Hirsch, Morris W.
1982
Pseudoparabolic partial differential equations. Zbl 0199.42102
Showalter, R. E.; Ting, T. W.
1970
The periodic unfolding method in homogenization. Zbl 1167.49013
Cioranescu, D.; Damlamian, A.; Griso, G.
2008
Formation of $$\delta$$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. Zbl 1038.35035
Chen, Gui-Qiang; Liu, Hailiang
2003
The lifting scheme: A construction of second generation wavelets. Zbl 0911.42016
Sweldens, Wim
1998
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
Blow-up in nonlocal reaction-diffusion equations. Zbl 0909.35073
Souplet, Philippe
1998
A class of bases in $$L^ 2$$ for the sparse representation of integral operators. Zbl 0764.42017
1993
On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation. Zbl 0997.35022
Juutinen, Petri; Lindqvist, Peter; Manfredi, Juan J.
2001
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
1992
Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations. Zbl 0681.35071
Dauge, Monique
1989
About lifespan of regular solutions of equations related to viscoelastic fluids. Zbl 1007.76003
2001
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
1991
Blow-up solutions for a class of semilinear elliptic and parabolic equations. Zbl 0959.35065
Du, Yihong; Huang, Qingguang
1999
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
2000
Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
1985
Global bifurcation of positive solutions in some systems of elliptic equations. Zbl 0613.35008
Blat, J.; Brown, K. J.
1986
$$\mathcal A$$-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
1999
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
2014
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
2011
Ergodic properties of linear dynamical systems. Zbl 0641.58034
Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R.
1987
Optimally sparse multidimensional representation using shearlets. Zbl 1197.42017
Guo, Kanghui; Labate, Demetrio
2007
Global existence and boundedness in reaction-diffusion systems. Zbl 0655.35045
Hollis, Selwyn L.; Martin, Robert H.; Pierre, Michel
1987
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
1990
Barycenters in the Wasserstein space. Zbl 1223.49045
Agueh, Martial; Carlier, Guillaume
2011
Traffic flow on a road network. Zbl 1114.90010
Coclite, G. M.; Garavello, M.; Piccoli, B.
2005
A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols. Zbl 0437.33014
1979
Multivariate refinement equations and convergence of subdivision schemes. Zbl 0915.65143
Han, Bin; Jia, Rong-Qing
1998
The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282
Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem
2010
Uniqueness of a limit cycle for a predator-prey system. Zbl 0471.92021
Cheng, Kuo-Shung
1981
$$L^{\infty{}}$$ estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033
Boccardo, L.; Murat, F.; Puel, J.-P.
1992
Localized tight frames on spheres. Zbl 1143.42034
Narcowich, F. J.; Petrushev, P.; Ward, J. D.
2007
On bound states concentrating on spheres for the Maxwell-Schrödinger equation. Zbl 1096.35017
D’Aprile, Teresa; Wei, Juncheng
2005
Stochastic Navier-Stokes equations for turbulent flows. Zbl 1062.60061
Mikulevicius, R.; Rozovskii, B. L.
2004
On a fourth-order degenerate parabolic equation: Global entropy estimates, existence, and qualitative behavior of solutions. Zbl 0929.35061
Dal Passo, Roberta; Garcke, Harald; Grün, Günther
1998
Lower bounds for generalized Ginzburg–Landau functionals. Zbl 0928.35045
Jerrard, Robert L.
1999
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2001
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
Some hypergeometric orthogonal polynomials. Zbl 0454.33007
Wilson, James A.
1980
Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Orthogonal polynomials, duality and association schemes. Zbl 0495.33006
Leonard, Douglas A.
1982
Parameter dependence of propagation speed of travelling waves for competition-diffusion equations. Zbl 0821.34048
Kan-on, Yukio
1995
Uniform asymptotic stability of evolutionary processes in a Banach space. Zbl 0241.34071
Datko, Richard
1972
On concentration of positive bound states of nonlinear Schrödinger equations with competing potential functions. Zbl 0879.35053
Wang, Xuefeng; Zeng, Bin
1997
Diffusive logistic equations with indefinite weights: Population models in disrupted environments. II. Zbl 0726.92024
Cantrell, Robert Stephen; Cosner, Chris
1991
Monotoneity properties of solutions of Hermitian Riccati matrix differential equations. Zbl 0209.11601
Reid, W. T.
1970
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
1992
On a nonlinear parabolic problem arising in some models related to turbulent flows. Zbl 0808.35066
Diaz, Jesus Ildefonso; de Thelin, François
1994
Determining a function from its mean values over a family of spheres. Zbl 1073.35144
Finch, David; Patch, Sarah K.; Rakesh
2004
Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033
Ermentrout, George Bard; Kopell, Nancy
1984
Subharmonic solutions for some second-order differential equations with singularities. Zbl 0787.34035
Fonda, Alessandro; Manásevich, Raúl; Zanolin, Fabio
1993
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
2005
The Riemann-Hilbert problem and inverse scattering. Zbl 0685.34021
Zhou, Xin
1989
Differentiability properties of solutions of the equation $$-\epsilon ^ 2\Delta u+ru=f(x,y)$$ in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
1990
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
1989
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2003
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
2009
Global structure of bifurcating solutions of some reaction-diffusion systems. Zbl 0501.35010
Nishiura, Y.
1982
Some general existence principles and results for $$(\varphi(y'))=qf(t,y,y'),0<t<1$$. Zbl 0778.34013
O’Regan, Donal
1993
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
2014
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
On the partial differential equations of electrostatic MEMS devices: stationary case. Zbl 1174.35040
Ghoussoub, Nassif; Guo, Yujin
2007
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
2000
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2014
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
2008
Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity. Zbl 0489.73124
Dafermos, C. M.
1982
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong
1997
Refinable function vectors. Zbl 0913.42028
Shen, Zuowei
1998
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
2003
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
2005
Solution of the Cauchy problem for a conservation law with a discontinuous flux function. Zbl 0776.35034
Gimse, Tore; Risebro, Nils Henrik
1992
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
1982
The periodic unfolding method in domains with holes. Zbl 1250.49017
Cioranescu, D.; Damlamian, A.; Donato, P.; Griso, G.; Zaki, R.
2012
An entire solution to the Lotka-Volterra competition-diffusion equations. Zbl 1184.35152
Morita, Yoshihisa; Tachibana, Koichi
2009
Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025
Dahmen, Wolfgang; Schneider, Reinhold
1999
Global classical solutions to 3D compressible magnetohydrodynamic equations with large oscillations and vacuum. Zbl 1278.35195
Li, Hai-Liang; Xu, Xinying; Zhang, Jianwen
2013
On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401
Cakoni, Fioralba; Nguyen, Hoai-Minh
2021
Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell type equations. Zbl 1460.35058
Dai, Wei; Liu, Zhao; Qin, Guolin
2021
Series expansions of the layer potential operators using the Faber polynomials and their applications to the transmission problem. Zbl 1465.35127
Jung, Younghoon; Lim, Mikyoung
2021
Blaschke-Santaló diagram for volume, perimeter, and first Dirichlet eigenvalue. Zbl 1460.49033
Ftouhi, Ilias; Lamboley, Jimmy
2021
Existence and hydrodynamic limit for a Paveri-Fontana-type kinetic traffic model. Zbl 1467.82072
Choi, Young-Pil; Yun, Seok-Bae
2021
Linear Schrödinger equation with an almost periodic potential. Zbl 1458.35025
Montalto, Riccardo; Procesi, Michela
2021
On the long time behavior of solutions to the intermediate long wave equation. Zbl 07317437
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
2021
The electrostatic potential of periodic crystals. Zbl 07326326
Rauch, Jeffrey; Scott, L. Ridgway
2021
Sonic-supersonic solutions to a mixed-type boundary value problem for the two-dimensional full Euler equations. Zbl 1465.35336
Hu, Yanbo; Chen, Jianjun
2021
Spatial stationarity, ergodicity, and CLT for parabolic Anderson model with delta initial condition in dimension $$d \geq 1$$. Zbl 1461.60048
Khoshnevisan, Davar; Nualart, David; Pu, Fei
2021
Global well-posedness for the focusing cubic NLS on the product space $$\mathbb{R} \times \mathbb{T}^3$$. Zbl 1464.35334
Yu, Xueying; Yue, Haitian; Zhao, Zehua
2021
Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh-size. Zbl 1461.49039
Bach, Annika; Cicalese, Marco; Ruf, Matthias
2021
Complex solutions and stationary scattering for the nonlinear Helmholtz equation. Zbl 1467.35174
Chen, Huyuan; Evéquoz, Gilles; Weth, Tobias
2021
Global $$L^\infty$$-bounds and long-time behavior of a diffusive epidemic system in a heterogeneous environment. Zbl 1465.35063
Peng, Rui; Wu, Yixiang
2021
Variational source conditions in $$L^p$$-spaces. Zbl 07351915
Chen, De-Han; Yousept, Irwin
2021
Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport. Zbl 1460.35287
Huang, Jiaxi; Jiang, Ning; Luo, Yi-Long; Zhao, Lifeng
2021
Stationary solutions to the Anderson-Witting model of the relativistic Boltzmann equation in a bounded interval. Zbl 1460.35250
Hwang, Byung-Hoon; Yun, Seok-Bae
2021
Quantitative homogenization for the case of an interface between two heterogeneous media. Zbl 1459.35023
Josien, Marc; Raithel, Claudia
2021
Maximal function estimates and local well-posedness for the generalized Zakharov-Kuznetsov equation. Zbl 1457.42031
Linares, Felipe; Ramos, João P. G.
2021
Three-dimensional global supersonic Euler flows in the infinitely long divergent nozzles. Zbl 1457.35032
Xu, Gang; Yin, Huicheng
2021
Venttsel boundary value problems with discontinuous data. Zbl 1458.35182
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2021
Structural stability of the transonic shock problem in a divergent three-dimensional axisymmetric perturbed nozzle. Zbl 1464.35159
Weng, Shangkun; Xie, Chunjing; Xin, Zhouping
2021
Decomposition of $$L^2$$-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential. Zbl 07373330
Baratchart, L.; Gerhards, C.; Kegeles, A.
2021
Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. Zbl 07381135
Jin, Bangti; Kian, Yavar; Zhou, Zhi
2021
Monotonicity-based inversion of the fractional Schrödinger equation. II: General potentials and stability. Zbl 1429.35210
Harrach, Bastian; Lin, Yi-Hsuan
2020
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. Zbl 1441.35079
Winkler, Michael
2020
Weak solutions of the Cahn-Hilliard system with dynamic boundary conditions: a gradient flow approach. Zbl 1429.35114
Garcke, Harald; Knopf, Patrik
2020
A local version of Einstein’s formula for the effective viscosity of suspensions. Zbl 07245266
Niethammer, Barbara; Schubert, Richard
2020
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075
Blechta, Jan; Málek, Josef; Rajagopal, K. R.
2020
Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions. Zbl 1437.35474
Al Baba, Hind; Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034
Deng, Youjun; Li, Hongjie; Liu, Hongyu
2020
Rigorous upscaling of unsaturated flow in fractured porous media. Zbl 1435.35304
2020
Integral convexity and parabolic systems. Zbl 07190065
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
2020
Well-posedness for a dispersive system of the Whitham-Boussinesq type. Zbl 1434.35178
Dinvay, E.; Selberg, S.; Tesfahun, A.
2020
Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors. Zbl 1448.34117
Wang, Fenfen; de la Llave, Rafael
2020
Nonuniqueness of weak solutions to the 3 dimensional quasi-geostrophic equations. Zbl 1446.76075
Novack, Matthew
2020
A unified homogenization approach for the Dirichlet problem in perforated domains. Zbl 1437.35043
Jing, Wenjia
2020
Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity. Zbl 1452.35261
Kaneko, Yuki; Matsuzawa, Hiroshi; Yamada, Yoshio
2020
A second order gradient flow of $$p$$-elastic planar networks. Zbl 1430.35150
Novaga, Matteo; Pozzi, Paola
2020
On scattering for the defocusing quintic nonlinear Schrödinger equation on the two-dimensional cylinder. Zbl 1448.35464
Cheng, Xing; Guo, Zihua; Zhao, Zehua
2020
On an asymptotic model for free boundary Darcy flow in porous media. Zbl 1450.35298
Granero-Belinchón, Rafael; Scrobogna, Stefano
2020
Nonhexagonal lattices from a two species interacting system. Zbl 1437.82008
Luo, Senping; Ren, Xiaofeng; Wei, Juncheng
2020
Increasing stability in acoustic and elastic inverse source problems. Zbl 07269946
Entekhabi, Mozhgan; Isakov, Victor
2020
Honeycomb-lattice Minnaert bubbles. Zbl 1451.35023
Ammari, Habib; Fitzpatrick, Brian; Hiltunen, Erik Orvehed; Lee, Hyundae; Yu, Sanghyeon
2020
Functional relations, sharp mapping properties, and regularization of the X-ray transform on disks of constant curvature. Zbl 1464.44003
Monard, François
2020
Asymptotic behavior of solutions to Euler equations with time-dependent damping in critical case. Zbl 1437.35119
Geng, Shifeng; Lin, Yanping; Mei, Ming
2020
Asymptotic behavior for textiles. Zbl 1439.35039
Griso, Georges; Orlik, Julia; Wackerle, Stephan
2020
Justification of the point vortex approximation for modified surface quasi-geostrophic equations. Zbl 1433.76030
Rosenzweig, Matthew
2020
Global large solutions to the three dimensional compressible Navier-Stokes equations. Zbl 1456.35171
Zhai, Xiaoping; Li, Yongsheng; Zhou, Fujun
2020
Asymptotics for the electric field concentration in the perfect conductivity problem. Zbl 1447.35140
Li, Haigang
2020
Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. Zbl 1436.35125
Kim, Hyunseok; Tsai, Tai-Peng
2020
On regularity of the logarithmic forward map of electrical impedance tomography. Zbl 1433.35041
Garde, Henrik; Hyvönen, Nuutti; Kuutela, Topi
2020
Floating structures in shallow water: local well-posedness in the axisymmetric case. Zbl 1428.76036
Bocchi, Edoardo
2020
Linear inviscid damping near monotone shear flows. Zbl 1431.35089
Jia, Hao
2020
On viscosity solutions of space-fractional diffusion equations of Caputo type. Zbl 1430.35262
Tokinaga; Rybka, Piotr
2020
Scaling limits of discrete optimal transport. Zbl 1447.49062
Gladbach, Peter; Kopfer, Eva; Maas, Jan
2020
Resolution analysis of inverting the generalized Radon transform from discrete data in $$\mathbb{R}^3$$. Zbl 07253643
Katsevich, Alexander
2020
Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions. Zbl 1446.49009
Bach, Annika; Braides, Andrea; Cicalese, Marco
2020
Boundary blow-up analysis of gradient estimates for Lamé systems in the presence of $$m$$-convex hard inclusions. Zbl 1448.74027
Li, Haigang; Zhao, Zhiwen
2020
The observational limit of wave packets with noisy measurements. Zbl 1451.35260
Caro, Pedro; Meroño, Cristóbal J.
2020
Inverse source problems in an inhomogeneous medium with a single far-field pattern. Zbl 1467.35348
Hu, Guanghui; Li, Jingzhi
2020
Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. Zbl 1461.76082
Cao, Daomin; Wang, Guodong; Zhan, Weicheng
2020
Topologically based fractional diffusion and emergent dynamics with short-range interactions. Zbl 1453.92371
2020
Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography. Zbl 1455.35298
Candiani, Valentina; Dardé, Jérémi; Garde, Henrik; Hyvönen, Nuutti
2020
The global well-posedness for the compressible fluid model of Korteweg type. Zbl 1455.35202
Murata, Miho; Shibata, Yoshihiro
2020
Maximal-in-time existence and uniqueness of strong solution of a 3D fluid-structure interaction model. Zbl 1456.35165
Maity, Debayan; Raymond, Jean-Pierre; Roy, Arnab
2020
Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2020
Modified electromagnetic transmission eigenvalues in inverse scattering theory. Zbl 1455.35070
Cogar, Samuel; Monk, Peter B.
2020
Stability of traveling waves for systems of reaction-diffusion equations with multiplicative noise. Zbl 1433.35168
Hamster, C. H. S.; Hupkes, H. J.
2020
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
2020
Local sensitivity analysis for the Kuramoto-Daido model with random inputs in a large coupling regime. Zbl 1443.34032
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
2020
Existence and regularity for eddy current system with nonsmooth conductivity. Zbl 1434.35213
Francini, Elisa; Franzina, Giovanni; Vessella, Sergio
2020
Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient. Zbl 1442.35188
Druet, Pierre-Etienne; Jüngel, Ansgar
2020
Gaussian lower bounds for the Boltzmann equation without cutoff. Zbl 1442.35050
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis
2020
On the approximation of electromagnetic fields by edge finite elements. III: Sensitivity to coefficients. Zbl 1448.65224
Ciarlet, Patrick jun.
2020
The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096
Deconinck, Bernard; Upsal, Jeremy
2020
Regularity in time of Hölder solutions of Euler and hypodissipative Navier-Stokes equations. Zbl 1439.35381
Colombo, Maria; De Rosa, Luigi
2020
Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system. Zbl 1429.35174
Feng, Zhewen; Hong, Min-Chun; Mei, Yu
2020
Repartition of the quasi-stationary distribution and first exit point density for a double-well potential. Zbl 1430.35175
Le Peutrec, Dorian; Nectoux, Boris
2020
A differential approach to the multi-marginal Schrödinger system. Zbl 1436.49058
Carlier, Guillaume; Laborde, Maxime
2020
Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050
Duchêne, V.; Rodrigues, L. M.
2020
Wang, Ya-Guang; Zhu, Shi-Yong
2020
On decay of entropy solutions to multidimensional conservation laws. Zbl 1435.35247
Panov, Evgeniy Y.
2020
Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $$\mathbb{R}$$. Zbl 1447.35171
Ding, Weiwei; Matano, Hiroshi
2020
The Calderón problem for a space-time fractional parabolic equation. Zbl 1447.35382
Lai, Ru-Yu; Lin, Yi-Hsuan; Rüland, Angkana
2020
Multivortex traveling waves for the Gross-Pitaevskii equation and the Adler-Moser polynomials. Zbl 1445.35106
Liu, Yong; Wei, Juncheng
2020
Variational principles of micromagnetics revisited. Zbl 1446.35197
Di Fratta, Giovanni; Muratov, Cyrill B.; Rybakov, Filipp N.; Slastikov, Valeriy V.
2020
Viscosity solutions of path-dependent PDEs with randomized time. Zbl 1445.35207
Ren, Zhenjie; Rosestolato, Mauro
2020
Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher. Zbl 1456.60138
Gu, Yu; Li, Jiawei
2020
Fixed angle inverse scattering for almost symmetric or controlled perturbations. Zbl 1453.35193
Rakesh; Salo, Mikko
2020
From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states. Zbl 07279614
Saffirio, Chiara
2020
Semiclassical sampling and discretization of certain linear inverse problems. Zbl 1453.35195
Stefanov, Plamen
2020
Optimal large-time behavior of the two-phase fluid model in the whole space. Zbl 1464.35194
Wu, Guochun; Zhang, Yinghui; Zhou, Lan
2020
On the low Mach number limit for quantum Navier-Stokes equations. Zbl 1454.35272
Antonelli, Paolo; Hientzsch, Lars Eric; Marcati, Pierangelo
2020
On $$L^r$$ estimates for Maxwell’s equations with complex coefficients in Lipschitz domains. Zbl 1454.35373
Xiang, Xingfei
2020
Existence and asymptotics of nonlinear Helmholtz eigenfunctions. Zbl 1455.35163
Gell-Redman, Jesse; Hassell, Andrew; Shapiro, Jacob; Zhang, Junyong
2020
Convergence rates of the Allen-Cahn equation to mean curvature flow: a short proof based on relative entropies. Zbl 1454.53079
Fischer, Julian; Laux, Tim; Simon, Theresa M.
2020
Mean-field analysis of multipopulation dynamics with label switching. Zbl 1437.35665
Morandotti, Marco; Solombrino, Francesco
2020
Singular perturbations of variational-hemivariational inequalities. Zbl 1441.35021
Han, Weimin
2020
On weak observability for evolution systems with skew-adjoint generators. Zbl 1445.35319
Ammari, Kaïs; Triki, Faouzi
2020
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#### Cited by 31,880 Authors

 109 Li, Wan-Tong 102 Wei, Juncheng 96 Carrillo de la Plata, José Antonio 87 Ha, Seung-Yeal 87 Wang, Mingxin 86 Mu, Chunlai 81 Zhao, Xiao-Qiang 76 Winkler, Michael 74 Agarwal, Ravi P. 74 Srivastava, Hari Mohan 71 Ismail, Mourad El-Houssieny 70 Guo, Boling 69 Feireisl, Eduard 67 O’Regan, Donal 67 Zhu, Changjiang 66 Chu, Yuming 66 Jüngel, Ansgar 64 Ammari, Habib M. 64 Rossi, Julio Daniel 63 Marcellán Español, Francisco 63 Ruan, Shigui 62 Llibre, Jaume 62 Tan, Zhong 60 Shen, Wenxian 60 Temam, Roger Meyer 59 Schwab, Christoph 59 Zumbrun, Kevin R. 56 Du, Yihong 56 Xin, Zhouping 55 Shi, Junping 55 Wu, Jiahong 55 Wu, Jianhua 55 Yao, Zhengan 54 Wang, Shu 54 Zhao, Huijiang 51 Mielke, Alexander 49 Migórski, Stanisław 49 Yin, Zhaoyang 47 Lin, Zhigui 47 Masmoudi, Nader 46 Coclite, Giuseppe Maria 46 Dehghan Takht Fooladi, Mehdi 46 Yang, Tong 45 Vazquez, Juan Luis 45 Zhang, Zhifei 44 Fan, Jishan 44 Gao, Hongjun 44 Wendland, Wolfgang L. 43 Pelinovsky, Dmitry Efimovich 43 Perthame, Benoît 43 Valdinoci, Enrico 43 Wei, Junjie 42 Chen, Gui-Qiang G. 42 Dong, Hongjie 42 Hamel, François 42 Henderson, Johnny Lee 42 Sun, Qiyu 42 Wang, Dehua 42 Wang, Zhi Cheng 42 Wong, Roderick Sue-Chuen 41 Guo, Jong-Shenq 41 Li, Yeping 41 Liu, Jianguo 41 Novaga, Matteo 41 Stefanelli, Ulisse 40 Han, Weimin 40 Li, Fucai 40 Roubíček, Tomáš 40 Smith, Hal Leslie 40 Uhlmann, Gunther Alberto 40 Wu, Jianhong 39 Nečasová, Šárka 39 Xu, Junxiang 38 Escher, Joachim 38 Karlsen, Kenneth Hvistendahl 38 Yin, Jingxue 38 Zou, Xingfu 37 Fonseca, Irene 37 Huang, Feimin 37 Jiang, Song 37 Lin, Guo 37 Sandstede, Björn 37 Wen, Huanyao 37 Wu, Shiliang 37 Xu, Yuan 37 Yamamoto, Masahiro 36 Bulíček, Miroslav 36 Conti, Sergio 36 Du, Lili 36 Guo, Shangjiang 36 Han, Bin 36 Nicaise, Serge 36 Payne, Lawrence Edward 36 Ponce, Gustavo 36 Schweizer, Ben 36 Stephan, Ernst Peter 36 Tao, Youshan 36 Titi, Edriss Saleh 36 Vasseur, Alexis F. 36 Vinet, Luc ...and 31,780 more Authors
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#### Cited in 973 Journals

 2,668 Journal of Mathematical Analysis and Applications 2,626 Journal of Differential Equations 1,242 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 904 Archive for Rational Mechanics and Analysis 868 Journal of Computational and Applied Mathematics 796 Applied Mathematics and Computation 744 Journal of Mathematical Physics 718 SIAM Journal on Mathematical Analysis 673 Nonlinear Analysis. Real World Applications 656 Applicable Analysis 566 Discrete and Continuous Dynamical Systems 557 Computers & Mathematics with Applications 537 ZAMP. Zeitschrift für angewandte Mathematik und Physik 492 Physica D 483 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 482 Mathematical Methods in the Applied Sciences 479 Calculus of Variations and Partial Differential Equations 478 Proceedings of the American Mathematical Society 467 Communications in Mathematical Physics 442 Transactions of the American Mathematical Society 438 Journal of Approximation Theory 434 Communications in Partial Differential Equations 433 Discrete and Continuous Dynamical Systems. Series B 428 Journal of Functional Analysis 426 Nonlinear Analysis. Theory, Methods & Applications 393 Applied Mathematics Letters 377 Journal of Computational Physics 361 Journal de Mathématiques Pures et Appliquées. Neuvième Série 335 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 332 Journal of Dynamics and Differential Equations 306 Mathematics of Computation 297 Applied and Computational Harmonic Analysis 290 Communications on Pure and Applied Analysis 277 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 272 Numerische Mathematik 265 Journal of Mathematical Biology 259 Nonlinearity 255 Computer Methods in Applied Mechanics and Engineering 240 Applied Numerical Mathematics 233 Linear Algebra and its Applications 232 Journal of Scientific Computing 231 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 230 Acta Applicandae Mathematicae 228 Advances in Mathematics 227 SIAM Journal on Applied Mathematics 224 Journal of Nonlinear Science 224 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 219 Abstract and Applied Analysis 204 Annali di Matematica Pura ed Applicata. Serie Quarta 198 Journal of Mathematical Fluid Mechanics 195 Boundary Value Problems 191 Journal of Mathematical Sciences (New York) 181 Comptes Rendus. Mathématique. Académie des Sciences, Paris 179 Inverse Problems 179 Journal of Statistical Physics 172 NoDEA. Nonlinear Differential Equations and Applications 170 Mathematical and Computer Modelling 166 Rocky Mountain Journal of Mathematics 166 Advances in Computational Mathematics 166 Integral Transforms and Special Functions 165 Quarterly of Applied Mathematics 161 Chaos, Solitons and Fractals 157 Mathematische Annalen 157 Journal of Evolution Equations 154 The Journal of Fourier Analysis and Applications 152 Mathematical Biosciences 152 Discrete and Continuous Dynamical Systems. Series S 144 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 142 Science China. Mathematics 139 Journal of Hyperbolic Differential Equations 138 SIAM Journal on Scientific Computing 136 SIAM Journal on Applied Dynamical Systems 134 Advances in Difference Equations 133 Constructive Approximation 132 Numerical Functional Analysis and Optimization 132 SIAM Journal on Numerical Analysis 131 Acta Mathematica Sinica. English Series 131 Communications in Contemporary Mathematics 128 Communications in Nonlinear Science and Numerical Simulation 125 Journal of Fluid Mechanics 124 Journal of Difference Equations and Applications 122 Acta Mathematicae Applicatae Sinica. English Series 120 Bulletin of Mathematical Biology 120 Numerical Algorithms 118 European Journal of Applied Mathematics 115 Applied Mathematical Modelling 114 Journal of Integral Equations and Applications 113 Communications on Pure and Applied Mathematics 111 Applied Mathematics and Optimization 111 Stochastic Processes and their Applications 111 Analysis and Applications (Singapore) 109 Inverse Problems and Imaging 107 Mathematische Nachrichten 107 International Journal of Wavelets, Multiresolution and Information Processing 106 Journal of Elasticity 100 Multiscale Modeling & Simulation 99 Studies in Applied Mathematics 98 Kinetic and Related Models 97 Results in Mathematics 97 Numerical Methods for Partial Differential Equations ...and 873 more Journals
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#### Cited in 63 Fields

 24,432 Partial differential equations (35-XX) 7,044 Fluid mechanics (76-XX) 6,459 Numerical analysis (65-XX) 6,148 Ordinary differential equations (34-XX) 4,969 Biology and other natural sciences (92-XX) 3,255 Dynamical systems and ergodic theory (37-XX) 2,864 Mechanics of deformable solids (74-XX) 2,543 Calculus of variations and optimal control; optimization (49-XX) 2,448 Operator theory (47-XX) 2,346 Harmonic analysis on Euclidean spaces (42-XX) 2,166 Special functions (33-XX) 2,153 Probability theory and stochastic processes (60-XX) 1,819 Statistical mechanics, structure of matter (82-XX) 1,505 Integral equations (45-XX) 1,376 Approximations and expansions (41-XX) 1,175 Functional analysis (46-XX) 1,166 Systems theory; control (93-XX) 1,095 Optics, electromagnetic theory (78-XX) 987 Quantum theory (81-XX) 932 Real functions (26-XX) 893 Global analysis, analysis on manifolds (58-XX) 796 Information and communication theory, circuits (94-XX) 726 Functions of a complex variable (30-XX) 709 Classical thermodynamics, heat transfer (80-XX) 700 Difference and functional equations (39-XX) 665 Mechanics of particles and systems (70-XX) 596 Differential geometry (53-XX) 541 Operations research, mathematical programming (90-XX) 501 Linear and multilinear algebra; matrix theory (15-XX) 497 Integral transforms, operational calculus (44-XX) 487 Statistics (62-XX) 472 Combinatorics (05-XX) 460 Computer science (68-XX) 439 Geophysics (86-XX) 438 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 391 Measure and integration (28-XX) 345 Number theory (11-XX) 333 Potential theory (31-XX) 231 Abstract harmonic analysis (43-XX) 170 Nonassociative rings and algebras (17-XX) 146 Topological groups, Lie groups (22-XX) 146 Relativity and gravitational theory (83-XX) 133 Astronomy and astrophysics (85-XX) 97 Several complex variables and analytic spaces (32-XX) 97 Convex and discrete geometry (52-XX) 90 Algebraic geometry (14-XX) 88 General topology (54-XX) 87 Group theory and generalizations (20-XX) 85 Sequences, series, summability (40-XX) 59 History and biography (01-XX) 52 General and overarching topics; collections (00-XX) 47 Associative rings and algebras (16-XX) 34 Manifolds and cell complexes (57-XX) 31 Commutative algebra (13-XX) 31 Geometry (51-XX) 23 Algebraic topology (55-XX) 20 Field theory and polynomials (12-XX) 11 Category theory; homological algebra (18-XX) 10 Mathematical logic and foundations (03-XX) 9 Mathematics education (97-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 2 $$K$$-theory (19-XX) 1 General algebraic systems (08-XX)