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Biagioni, Hebe A.

Co-Author Distance
Author ID: biagioni.hebe-a Recent zbMATH articles by "Biagioni, Hebe A."
Published as: Biagioni, H. A.; Biagioni, Hebe A.
Documents Indexed: 23 Publications since 1985, including 1 Book
Co-Authors: 9 Co-Authors with 20 Joint Publications
294 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
7 Gramchev, Todor V.
4 Linares, Felipe
3 Colombeau, Jean-François
3 Iorio, Rafael José jun.
2 Cadeddu, Lucio
2 Oberguggenberger, Michael B.
1 Aragona, Jorge
1 Bona, Jerry Lloyd
1 Scialom, Marcia
all top 5

Serials

3 Journal of Mathematical Analysis and Applications
2 Journal of Differential Equations
2 Matemática Contemporânea
1 Analysis Mathematica
1 Studia Mathematica
1 Journal of the London Mathematical Society. Second Series
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Differential and Integral Equations
1 SIAM Journal on Mathematical Analysis
1 Advances in Differential Equations
1 Integral Transforms and Special Functions
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Lecture Notes in Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications

Fields

18 Partial differential equations (35-XX)
8 Functional analysis (46-XX)
5 Fluid mechanics (76-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

22 Publications have been cited 477 times in 369 Documents Cited by ▼ Year ▼
A nonlinear theory of generalized functions. 2nd ed. Zbl 0694.46032
Biagioni, Hebe A.
89
1990
Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. Zbl 0970.35154
Biagioni, H. A.; Linares, F.
51
2001
Borel’s theorem for generalized functions. Zbl 0627.46049
Biagioni, H. A.; Colombeau, J. F.
41
1985
On the Benney-Lin and Kawahara equations. Zbl 0876.35100
Biagioni, H. A.; Linares, F.
39
1997
Intrinsic definition of the Colombeau algebra of generalized functions. Zbl 0765.46019
Aragona, J.; Biagioni, H. A.
37
1991
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
36
1996
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M.
35
1992
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M.
35
1992
Well-posedness results for the modified Zakharov-Kuznetsov equation. Zbl 1038.35090
Biagioni, H. A.; Linares, F.
31
2003
Generalized solutions to nonlinear first-order systems. Zbl 0807.35020
Biagioni, H. A.
17
1994
Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\). Zbl 1160.35311
Biagioni, Hebe A.; Gramchev, Todor
17
2003
New generalized functions and \(C^{\infty}\) functions with values in generalized complex numbers. Zbl 0594.46035
Biagioni, H. A.; Colombeau, J. F.
8
1986
Whitney’s extension theorem for generalized functions. Zbl 0603.46044
Biagioni, H. A.; Colombeau, J. F.
7
1986
Multidimensional Kuramoto-Sivashinsky type equations: Singular initial data and analytic regularity. Zbl 0921.35067
Biagioni, Hebe A.; Gramchev, Todor
6
1998
Parabolic equations with conservative nonlinear term and singular initial data. Zbl 0889.35048
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor
6
1997
The Cauchy problem for semilinear hyperbolic systems with generalized functions as initial conditions. Zbl 0666.35058
Biagioni, H. A.
5
1988
Semilinear parabolic equations with singular initial data in anisotropic weighted spaces. Zbl 1014.35041
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor
5
1999
Evolution PDE with elliptic dissipative terms: Critical index for singular initial data, self-similar solutions and analytic regularity. Zbl 0990.35060
Biagioni, Hebe A.; Gramchev, Todor
4
1998
On the 2D Navier-Stokes equation with singular initial data and forcing term. Zbl 0869.35073
Biagioni, Hebe A.; Gramchev, Todor
3
1996
Ill-posedness for the Zakharov system with generalized nonlinearity. Zbl 1028.35138
Biagioni, H. A.; Linares, F.
3
2003
Generalized solutions to the Kuramoto-Sivashinsky equation. Zbl 0907.35112
Biagioni, H. A.; Iorio, R. J. jun.
1
1998
Generalized solutions of the Benjamin-Ono and Smith equations. Zbl 0809.35100
Biagioni, H. A.; Iório, Rafael José jun.
1
1994
Well-posedness results for the modified Zakharov-Kuznetsov equation. Zbl 1038.35090
Biagioni, H. A.; Linares, F.
31
2003
Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\). Zbl 1160.35311
Biagioni, Hebe A.; Gramchev, Todor
17
2003
Ill-posedness for the Zakharov system with generalized nonlinearity. Zbl 1028.35138
Biagioni, H. A.; Linares, F.
3
2003
Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. Zbl 0970.35154
Biagioni, H. A.; Linares, F.
51
2001
Semilinear parabolic equations with singular initial data in anisotropic weighted spaces. Zbl 1014.35041
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor
5
1999
Multidimensional Kuramoto-Sivashinsky type equations: Singular initial data and analytic regularity. Zbl 0921.35067
Biagioni, Hebe A.; Gramchev, Todor
6
1998
Evolution PDE with elliptic dissipative terms: Critical index for singular initial data, self-similar solutions and analytic regularity. Zbl 0990.35060
Biagioni, Hebe A.; Gramchev, Todor
4
1998
Generalized solutions to the Kuramoto-Sivashinsky equation. Zbl 0907.35112
Biagioni, H. A.; Iorio, R. J. jun.
1
1998
On the Benney-Lin and Kawahara equations. Zbl 0876.35100
Biagioni, H. A.; Linares, F.
39
1997
Parabolic equations with conservative nonlinear term and singular initial data. Zbl 0889.35048
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor
6
1997
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
36
1996
On the 2D Navier-Stokes equation with singular initial data and forcing term. Zbl 0869.35073
Biagioni, Hebe A.; Gramchev, Todor
3
1996
Generalized solutions to nonlinear first-order systems. Zbl 0807.35020
Biagioni, H. A.
17
1994
Generalized solutions of the Benjamin-Ono and Smith equations. Zbl 0809.35100
Biagioni, H. A.; Iório, Rafael José jun.
1
1994
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M.
35
1992
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M.
35
1992
Intrinsic definition of the Colombeau algebra of generalized functions. Zbl 0765.46019
Aragona, J.; Biagioni, H. A.
37
1991
A nonlinear theory of generalized functions. 2nd ed. Zbl 0694.46032
Biagioni, Hebe A.
89
1990
The Cauchy problem for semilinear hyperbolic systems with generalized functions as initial conditions. Zbl 0666.35058
Biagioni, H. A.
5
1988
New generalized functions and \(C^{\infty}\) functions with values in generalized complex numbers. Zbl 0594.46035
Biagioni, H. A.; Colombeau, J. F.
8
1986
Whitney’s extension theorem for generalized functions. Zbl 0603.46044
Biagioni, H. A.; Colombeau, J. F.
7
1986
Borel’s theorem for generalized functions. Zbl 0627.46049
Biagioni, H. A.; Colombeau, J. F.
41
1985
all cited Publications top 5 cited Publications
all top 5

Cited by 345 Authors

20 Pilipović, Stevan
17 Oberguggenberger, Michael B.
13 Aragona, Jorge
13 Cappiello, Marco
13 Gramchev, Todor V.
13 Kunzinger, Michael
13 Lar’kin, Nikolaj Andreevich
11 Colombeau, Jean-François
10 Juriaans, Stanley Orlando
10 Scarpalezos, Dimitris
10 Stojanović, Mirjana N.
9 Biagioni, Hebe A.
9 Coclite, Giuseppe Maria
9 Di Ruvo, Lorenzo
9 Faminskii, Andrei V.
9 Linares, Felipe
8 Hormann, Gunther
8 Nigsch, Eduard Albert
8 Rodino, Luigi
7 Vernaeve, Hans
6 Chentouf, Boumediène
6 Garetto, Claudia
6 Nedeljkov, Marko
5 Carvajal, Xavier Paredes
5 Esfahani, Amin
5 Garcia, Antônio Ronaldo Gomes
5 Giordano, Paolo Robuffo
5 Nicola, Fabio
5 Rajter-Ćirić, Danijela
4 Bustamante, Eddye
4 Catuogno, Pedro José
4 Fernandez, Roseli
4 Joseph, Kayyunnapara Thomas
4 Marti, Jean-André
4 Olivera, Christian
4 Panthee, Mahendra
4 Pastor, Ademir
4 Ponce, Gustavo
4 Rosinger, Elemer E.
4 Steinbauer, Roland
4 Xu, Guixiang
3 Bu, Charles
3 Cui, Shangbin
3 Deguchi, Hideo
3 Delcroix, Antoine
3 Dugandžija, Nevena
3 Farah, Luiz Gustavo
3 Hayashi, Masayuki
3 Japundžić, Miloš
3 Kmit, Irina
3 Luchesi, Jackson
3 Mejía, Jorge
3 Miao, Changxing
3 Molinet, Luc
3 Moşincat, Răzvan O.
3 Opritova, Mariya A.
3 Pastran, Ricardo A.
3 Scialom, Marcia
3 Shan, Minjie
3 Smyrlis, Yiorgos-Sokratis
3 Stefanov, Atanas G.
3 Tang, Xingdong
3 Vickers, James A.
3 Visan, Monica
3 Vojnović, Ivana
2 Agbebaku, Dennis Ferdinand
2 Baglini, Lorenzo Luperi
2 Bernard, Séverine
2 Betancor Perez, Jorge Juan
2 Bhattacharya, Debdeep
2 Bouzar, Chikh
2 Cadeddu, Lucio
2 Çapar, Uluğ
2 Chadli, Lalla Saadia
2 Chen, Mingjuan
2 Chistyakov, Vyacheslav V.
2 da Silva, Patrícia Nunes
2 Đapić, Nenad
2 Dave, Shantanu
2 Doronin, Gleb Germanovitch
2 Elomari, M’Hamed
2 Erlacher, Evelina
2 Grosser, Michael
2 Herr, Sebastian
2 Hirayama, Hiroyuki
2 Ioakim, Xenakis
2 Isaza, Pedro
2 Isom, Bradley
2 Jiménez Urrea, José manuel
2 Kato, Tomoya
2 Killip, Rowan
2 Kinoshita, Shinya
2 Konjik, Sanja
2 Langlais, Michel R.
2 Mantzavinos, Dionyssios
2 Melliani, Said
2 Meril, Alex
2 Mitrovic, Darko
2 Nahmod, Andrea R.
2 Ning, Cui
...and 245 more Authors
all top 5

Cited in 128 Serials

53 Journal of Mathematical Analysis and Applications
22 Journal of Differential Equations
21 Monatshefte für Mathematik
19 Integral Transforms and Special Functions
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Acta Applicandae Mathematicae
7 Discrete and Continuous Dynamical Systems
5 Journal d’Analyse Mathématique
5 Journal of Mathematical Physics
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Transactions of the American Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Nonlinear Analysis. Theory, Methods & Applications
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Functional Analysis
4 Communications in Partial Differential Equations
4 Journal of Mathematical Sciences (New York)
4 Fractional Calculus & Applied Analysis
4 Communications on Pure and Applied Analysis
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Applicable Analysis
3 Mathematical Methods in the Applied Sciences
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Applied Mathematics and Computation
3 Mathematische Nachrichten
3 Journal of Nonlinear Science
3 Acta Mathematica Sinica. English Series
3 Communications in Contemporary Mathematics
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Analysis and Applications (Singapore)
3 Analysis & PDE
2 Communications in Algebra
2 Communications in Mathematical Physics
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Applied Mathematics and Optimization
2 Inventiones Mathematicae
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Indagationes Mathematicae. New Series
2 The Journal of Fourier Analysis and Applications
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Communications in Nonlinear Science and Numerical Simulation
2 Differential Equations
2 Journal of Evolution Equations
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 Advances in Mathematical Physics
2 Evolution Equations and Control Theory
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SN Partial Differential Equations and Applications
1 Analysis Mathematica
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Physics Letters. B
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 BIT
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Dissertationes Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Ricerche di Matematica
1 Tokyo Journal of Mathematics
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Acta Mathematica Hungarica
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 Annales Mathématiques Blaise Pascal
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Journal of Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 28 more Serials
all top 5

Cited in 34 Fields

277 Partial differential equations (35-XX)
144 Functional analysis (46-XX)
26 Fluid mechanics (76-XX)
20 Ordinary differential equations (34-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Real functions (26-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
15 Operator theory (47-XX)
14 Probability theory and stochastic processes (60-XX)
14 Numerical analysis (65-XX)
7 Systems theory; control (93-XX)
6 Commutative algebra (13-XX)
6 Integral transforms, operational calculus (44-XX)
5 Functions of a complex variable (30-XX)
5 Special functions (33-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Relativity and gravitational theory (83-XX)
4 Integral equations (45-XX)
4 Differential geometry (53-XX)
4 General topology (54-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Mathematical logic and foundations (03-XX)
2 Abstract harmonic analysis (43-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year