## de Pablo, Arturo

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 Author ID: de-pablo.arturo Published as: de Pablo, Arturo; De Pablo, Arturo; de Pablo, A.; De Pablo, A. more...less External Links: ORCID
 Documents Indexed: 49 Publications since 1990, including 1 Book Co-Authors: 17 Co-Authors with 46 Joint Publications 339 Co-Co-Authors
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### Co-Authors

 3 single-authored 17 Ferreira, Raúl 15 Quirós Gracián, Fernando 11 Rossi, Julio Daniel 11 Vazquez, Juan Luis 7 Alonso Rodríguez, Ana 7 Sánchez, Ariel 4 Reyes, Guillermo 3 Colorado, Eduardo 3 Pérez-Llanos, Mayte 3 Sánchez, Urko 2 Brändle, Cristina 2 Correa, Ernesto 2 Garcia-Azorero, Jesús 1 Arrieta, José M. 1 Barenblatt, Grigory Isaakovich 1 Barrios Barrera, Begoña 1 Ritorto, Antonella
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### Serials

 7 Journal of Differential Equations 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Dynamic Systems and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 MAT. Serie A: Conferencias, Seminarios y Trabajos de Matemática 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 Advances in Nonlinear Analysis 1 Mathematics in Engineering
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### Fields

 47 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Integral equations (45-XX) 2 Ordinary differential equations (34-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 1,114 times in 807 Documents Cited by Year
A concave-convex elliptic problem involving the fractional Laplacian. Zbl 1290.35304
Brändle, C.; Colorado, E.; de Pablo, A.; Sánchez, U.
2013
On some critical problems for the fractional Laplacian operator. Zbl 1245.35034
Barrios, B.; Colorado, E.; de Pablo, A.; Sánchez, U.
2012
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2011
A general fractional porous medium equation. Zbl 1248.35220
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2012
Travelling waves and finite propagation in a reaction-diffusion equation. Zbl 0784.35045
de Pablo, Arturo; Vazquez, Juan Luis
1991
Critical exponents for a semilinear parabolic equation with variable reaction. Zbl 1270.35070
Ferreira, R.; de Pablo, A.; Pérez-Llanos, M.; Rossi, J. D.
2012
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2017
Classification of blow-up with nonlinear diffusion and localized reaction. Zbl 1110.35034
Ferreira, Raúl; De Pablo, Arturo; Vazquez, Juan Luis
2006
The blow-up profile for a fast diffusion equation with a nonlinear boundary condition. Zbl 1032.35107
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2003
The balance between strong reaction and slow diffusion. Zbl 0705.35072
de Pablo, Arturo; Vazquez, Juan Luis
1990
Perturbations of a critical fractional equation. Zbl 1304.35745
Colorado, Eduardo; de Pablo, Arturo; Sánchez, Urko
2014
Mathematical model of the non-equilibrium water-oil displacement in porous strata. Zbl 0899.76344
Barenblatt, Grigory Isaakovich; Garcia-Azorero, Jesús; De Pablo, Arturo; Vazquez, Juan Luis
1997
Non-simultaneous quenching in a system of heat equations coupled at the boundary. Zbl 1101.35008
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2006
Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition. Zbl 1001.35071
De Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2002
Travelling wave behaviour for a porous-Fisher equation. Zbl 0920.35085
De Pablo, Arturo; Sánchez, Ariel
1998
Nonsimultaneous quenching. Zbl 1019.35036
de Pablo, A.; Quirós, F.; Rossi, J. D.
2002
Classical solutions for a logarithmic fractional diffusion equation. Zbl 1322.35167
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2014
Global travelling waves in reaction-convection-diffusion equations. Zbl 0961.34011
de Pablo, Arturo; Sánchez, Ariel
2000
Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities. Zbl 1395.45018
Brändle, Cristina; De Pablo, Arturo
2018
Regularity of solutions and interfaces of a generalized porous medium equation in $$\mathbb{R}^ N$$. Zbl 0757.35009
de Pablo, Arturo; Vazquez, Juan Luis
1991
An overdetermined initial and boundary-value problem for a reaction- diffusion equation. Zbl 0801.35051
De Pablo, Arturo; Vazquez, Juan Luis
1992
Nonlocal filtration equations with rough kernels. Zbl 1334.35409
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2016
The interfaces of an inhomogeneous porous medium equation with convection. Zbl 1100.35057
Ferreira, Raúl; de Pablo, Arturo; Reyes, Guillermo; Sánchez, Ariel
2006
Numerical blow up for the $$p$$-Laplacian equation with a source. Zbl 1072.35041
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte
2005
Large-time behaviour of solutions of a reaction-diffusion equation. Zbl 0803.35069
de Pablo, Arturo
1994
Incomplete quenching in a system of heat equations coupled at the boundary. Zbl 1144.35023
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio D.
2008
Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions. Zbl 1400.35168
Ferreira, R.; de Pablo, A.
2018
Remarks on a nonlinear nonlocal operator in Orlicz spaces. Zbl 1426.45005
Correa, Ernesto; de Pablo, Arturo
2020
Nonlocal operators of order near zero. Zbl 1393.45011
Correa, Ernesto; de Pablo, Arturo
2018
The Cauchy problem for a nonhomogeneous heat equation with reaction. Zbl 1439.35265
De Pablo, Arturo; Reyes, Guillermo; Sánchez, Ariel
2013
Self-similar solutions satisfying or not the equation of the interface. Zbl 1106.35313
de Pablo, Arturo; Sánchez, Ariel
2002
Blow-up with logarithmic nonlinearities. Zbl 1133.35059
Ferreira, Raúl; de Pablo, Arturo; Rossi, Julio D.
2007
Blow-up for a degenerate diffusion problem not in divergence form. Zbl 1100.35051
Ferreira, Raúl; de Pablo, Arturo; Rossi, Julio D.
2006
On the quenching set for a fast diffusion equation: regional quenching. Zbl 1077.35069
Ferreira, R.; de Pablo, A.; Quirós, F.; Rossi, J. D.
2005
Superfast quenching. Zbl 1055.35064
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2004
Long time behaviour for a nonlinear first-order equation. Zbl 1096.35084
De Pablo, Arturo; Reyes, Guillermo
2006
Finite propagation for a pseudoparabolic equation: Two-phase non-equilibrium flows in porous media. Zbl 0947.35087
Garcia-Azorero, Jesús; de Pablo, Arturo
1998
Regularity theory for singular nonlocal diffusion equations. Zbl 1417.35220
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2018
Grow-up for a quasilinear heat equation with a localized reaction. Zbl 1435.35061
Ferreira, Raúl; de Pablo, Arturo
2020
Anisotropic nonlocal diffusion equations with singular forcing. Zbl 1454.35411
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2020
Remarks on a nonlinear nonlocal operator in Orlicz spaces. Zbl 1426.45005
Correa, Ernesto; de Pablo, Arturo
2020
Grow-up for a quasilinear heat equation with a localized reaction. Zbl 1435.35061
Ferreira, Raúl; de Pablo, Arturo
2020
Anisotropic nonlocal diffusion equations with singular forcing. Zbl 1454.35411
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2020
Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities. Zbl 1395.45018
Brändle, Cristina; De Pablo, Arturo
2018
Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions. Zbl 1400.35168
Ferreira, R.; de Pablo, A.
2018
Nonlocal operators of order near zero. Zbl 1393.45011
Correa, Ernesto; de Pablo, Arturo
2018
Regularity theory for singular nonlocal diffusion equations. Zbl 1417.35220
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2018
Classical solutions and higher regularity for nonlinear fractional diffusion equations. Zbl 1371.35331
Vázquez, Juan Luis; de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2017
Nonlocal filtration equations with rough kernels. Zbl 1334.35409
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2016
Perturbations of a critical fractional equation. Zbl 1304.35745
Colorado, Eduardo; de Pablo, Arturo; Sánchez, Urko
2014
Classical solutions for a logarithmic fractional diffusion equation. Zbl 1322.35167
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2014
A concave-convex elliptic problem involving the fractional Laplacian. Zbl 1290.35304
Brändle, C.; Colorado, E.; de Pablo, A.; Sánchez, U.
2013
The Cauchy problem for a nonhomogeneous heat equation with reaction. Zbl 1439.35265
De Pablo, Arturo; Reyes, Guillermo; Sánchez, Ariel
2013
On some critical problems for the fractional Laplacian operator. Zbl 1245.35034
Barrios, B.; Colorado, E.; de Pablo, A.; Sánchez, U.
2012
A general fractional porous medium equation. Zbl 1248.35220
De Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2012
Critical exponents for a semilinear parabolic equation with variable reaction. Zbl 1270.35070
Ferreira, R.; de Pablo, A.; Pérez-Llanos, M.; Rossi, J. D.
2012
A fractional porous medium equation. Zbl 1208.26016
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana; Vázquez, Juan Luis
2011
Incomplete quenching in a system of heat equations coupled at the boundary. Zbl 1144.35023
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio D.
2008
Blow-up with logarithmic nonlinearities. Zbl 1133.35059
Ferreira, Raúl; de Pablo, Arturo; Rossi, Julio D.
2007
Classification of blow-up with nonlinear diffusion and localized reaction. Zbl 1110.35034
Ferreira, Raúl; De Pablo, Arturo; Vazquez, Juan Luis
2006
Non-simultaneous quenching in a system of heat equations coupled at the boundary. Zbl 1101.35008
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2006
The interfaces of an inhomogeneous porous medium equation with convection. Zbl 1100.35057
Ferreira, Raúl; de Pablo, Arturo; Reyes, Guillermo; Sánchez, Ariel
2006
Blow-up for a degenerate diffusion problem not in divergence form. Zbl 1100.35051
Ferreira, Raúl; de Pablo, Arturo; Rossi, Julio D.
2006
Long time behaviour for a nonlinear first-order equation. Zbl 1096.35084
De Pablo, Arturo; Reyes, Guillermo
2006
Numerical blow up for the $$p$$-Laplacian equation with a source. Zbl 1072.35041
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte
2005
On the quenching set for a fast diffusion equation: regional quenching. Zbl 1077.35069
Ferreira, R.; de Pablo, A.; Quirós, F.; Rossi, J. D.
2005
Superfast quenching. Zbl 1055.35064
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2004
The blow-up profile for a fast diffusion equation with a nonlinear boundary condition. Zbl 1032.35107
Ferreira, Raúl; de Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2003
Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition. Zbl 1001.35071
De Pablo, Arturo; Quirós, Fernando; Rossi, Julio D.
2002
Nonsimultaneous quenching. Zbl 1019.35036
de Pablo, A.; Quirós, F.; Rossi, J. D.
2002
Self-similar solutions satisfying or not the equation of the interface. Zbl 1106.35313
de Pablo, Arturo; Sánchez, Ariel
2002
Global travelling waves in reaction-convection-diffusion equations. Zbl 0961.34011
de Pablo, Arturo; Sánchez, Ariel
2000
Travelling wave behaviour for a porous-Fisher equation. Zbl 0920.35085
De Pablo, Arturo; Sánchez, Ariel
1998
Finite propagation for a pseudoparabolic equation: Two-phase non-equilibrium flows in porous media. Zbl 0947.35087
Garcia-Azorero, Jesús; de Pablo, Arturo
1998
Mathematical model of the non-equilibrium water-oil displacement in porous strata. Zbl 0899.76344
Barenblatt, Grigory Isaakovich; Garcia-Azorero, Jesús; De Pablo, Arturo; Vazquez, Juan Luis
1997
Large-time behaviour of solutions of a reaction-diffusion equation. Zbl 0803.35069
de Pablo, Arturo
1994
An overdetermined initial and boundary-value problem for a reaction- diffusion equation. Zbl 0801.35051
De Pablo, Arturo; Vazquez, Juan Luis
1992
Travelling waves and finite propagation in a reaction-diffusion equation. Zbl 0784.35045
de Pablo, Arturo; Vazquez, Juan Luis
1991
Regularity of solutions and interfaces of a generalized porous medium equation in $$\mathbb{R}^ N$$. Zbl 0757.35009
de Pablo, Arturo; Vazquez, Juan Luis
1991
The balance between strong reaction and slow diffusion. Zbl 0705.35072
de Pablo, Arturo; Vazquez, Juan Luis
1990
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### Cited by 969 Authors

 43 Vazquez, Juan Luis 24 de Pablo, Arturo 23 Mu, Chunlai 16 Zhang, Binlin 14 Chen, Wenxiong 13 Ambrosio, Vincenzo 13 Zheng, Sining 12 del Teso, Félix 12 Quirós Gracián, Fernando 11 Miyagaki, Olimpio Hiroshi 11 Sánchez, Ariel 11 Xiang, Mingqi 10 Liu, Bingchen 10 Molica Bisci, Giovanni 9 Ferreira, Raúl 9 Iagar, Razvan Gabriel 9 Li, Congming 9 Niu, Pengcheng 9 Valdinoci, Enrico 9 Zhang, Jihui 8 Abdelhedi, Wael 8 Bonforte, Matteo 8 Chtioui, Hichem 8 Fiscella, Alessio 8 He, Xiaoming 8 Punzo, Fabio 8 Rădulescu, Vicenţiu D. 8 Shang, Xudong 8 Tang, Xianhua 8 Yin, Jingxue 7 Felli, Veronica 7 Guo, Yuxia 7 Jakobsen, Espen Robstad 7 Kim, Yunho 7 Li, Fengjie 7 Li, Zhongping 7 Luo, Huxiao 7 Macías-Díaz, Jorge Eduardo 7 Płociniczak, Łukasz 7 Servadei, Raffaella 7 Tang, Zhongwei 6 Alonso Rodríguez, Ana 6 Alves, Claudianor Oliveira 6 Colorado, Eduardo 6 Volzone, Bruno 6 Wang, Pengyan 6 Xiang, Zhaoyin 6 Zhen, Maoding 6 Zou, Wenming 5 Choi, Woocheol 5 Cui, Xuewei 5 Do Ó, João M. Bezerra 5 Endal, Jørgen 5 Guo, Jong-Shenq 5 Muratori, Matteo 5 Niu, Miaomiao 5 Ortega, Alejandro 5 Otárola, Enrique 5 Rossi, Julio Daniel 5 Saoudi, Kamel 5 Sire, Yannick 5 Squassina, Marco 5 Sun, Hongrui 5 Teng, Kaimin 5 Wang, Guotao 5 Wang, Xinjing 5 Yang, Jianfu 5 Yang, Zuodong 5 Yu, Xiaohui 5 Zhou, Jun 4 Audrito, Alessandro 4 Barrios Barrera, Begoña 4 Bueno, Hamilton P. 4 Chang, Xiaojun 4 Chen, Wenjing 4 Dai, Wei 4 Diaz Diaz, Jesus Ildefonso 4 Ferrara, Massimiliano 4 Grillo, Gabriele 4 Guo, Qing 4 Hajaiej, Hichem 4 Jin, Chunhua 4 Kim, In Hyoun 4 Kim, Seunghyeok 4 Lyubanova, Anna Sh. 4 Mei, Ming 4 Nie, Jianjun 4 Pucci, Patrizia 4 Salgado, Abner J. 4 Sreenadh, Konijeti 4 Stan, Diana 4 Wang, Qingfang 4 Wang, Xiaoshan 4 Wang, Zejia 4 Weth, Tobias 4 Wu, Leyun 4 Zhang, Jinguo 4 Zhang, Xia 4 Zhou, Shuangshuang 3 Alghanemi, Azeb ...and 869 more Authors
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### Cited in 203 Serials

 54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Journal of Mathematical Analysis and Applications 41 Journal of Differential Equations 27 Boundary Value Problems 26 Complex Variables and Elliptic Equations 24 Discrete and Continuous Dynamical Systems 24 Communications on Pure and Applied Analysis 20 Calculus of Variations and Partial Differential Equations 17 Applicable Analysis 17 Computers & Mathematics with Applications 14 Advanced Nonlinear Studies 13 Journal of Mathematical Physics 12 Applied Mathematics Letters 12 Nonlinear Analysis. Real World Applications 11 Applied Mathematics and Computation 11 Discrete and Continuous Dynamical Systems. Series B 10 Advances in Mathematics 10 Communications in Contemporary Mathematics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Topological Methods in Nonlinear Analysis 9 Fractional Calculus & Applied Analysis 9 Discrete and Continuous Dynamical Systems. Series S 8 Archive for Rational Mechanics and Analysis 8 Journal of Functional Analysis 7 Communications in Partial Differential Equations 7 Electronic Journal of Differential Equations (EJDE) 7 NoDEA. Nonlinear Differential Equations and Applications 7 Advances in Nonlinear Analysis 6 Mathematical Methods in the Applied Sciences 6 Rocky Mountain Journal of Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Abstract and Applied Analysis 5 Journal of the Korean Mathematical Society 5 Mediterranean Journal of Mathematics 5 Advances in Mathematical Physics 5 Science China. Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Analysis and Mathematical Physics 5 Nonlinear Analysis. Theory, Methods & Applications 5 AIMS Mathematics 4 Journal of Computational Physics 4 Nonlinearity 4 Journal of Computational and Applied Mathematics 4 Pacific Journal of Mathematics 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Dynamics and Differential Equations 4 Revista Matemática Complutense 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 International Journal of Mathematics 3 Computational and Applied Mathematics 3 Bulletin des Sciences Mathématiques 3 Taiwanese Journal of Mathematics 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Modelling and Control 3 Journal of Evolution Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Difference Equations 3 SN Partial Differential Equations and Applications 2 Communications on Pure and Applied Mathematics 2 Chaos, Solitons and Fractals 2 Glasgow Mathematical Journal 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) 2 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Mathematical Fluid Mechanics 2 Computational Geosciences 2 Lobachevskii Journal of Mathematics 2 Mathematical Modelling and Analysis 2 Dynamical Systems 2 Foundations of Computational Mathematics 2 Journal of the Australian Mathematical Society 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Analysis and Applications (Singapore) 2 Complex Analysis and Operator Theory 2 Optimization Letters 2 Journal of Nonlinear Science and Applications ...and 103 more Serials
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### Cited in 39 Fields

 779 Partial differential equations (35-XX) 66 Operator theory (47-XX) 57 Numerical analysis (65-XX) 53 Fluid mechanics (76-XX) 47 Real functions (26-XX) 41 Integral equations (45-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 34 Global analysis, analysis on manifolds (58-XX) 26 Ordinary differential equations (34-XX) 17 Functional analysis (46-XX) 17 Biology and other natural sciences (92-XX) 11 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Potential theory (31-XX) 6 Differential geometry (53-XX) 5 Approximations and expansions (41-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)