I. - Basic information

I.1 - Surname

Quittner

I.2 - Name

Pavol

I.3 - Degrees

prof. RNDr., DrSc.

I.4 - Year of birth

1958

I.5 - Name of the workplace

Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics

I.6 - Address of the workplace

Department of Applied Mathematics and Statistics, Mlynská dolina, 84248 Bratislava

I.7 - Position

Professor

I.8 - E-mail address

quittner@fmph.uniba.sk

I.9 - Hyperlink to the entry of a person in the Register of university staff

https://www.portalvs.sk/regzam/detail/4708

I.10 - Name of the study field in which a person works at the university

Mathematics

I.11 - ORCID iD

0000-0003-0117-1410

II. - Higher education and further qualification growth

II.1 - First degree of higher education

II.2 - Second degree of higher education

II.a - Name of the university or institution

Charles University in Prague, Faculty of Mathematics and Physics

II.b - Year

1982

II.c - Study field and programme

Mathematical Analysis

II.3 - Third degree of higher education

II.a - Name of the university or institution

Charles University in Prague, Faculty of Mathematics and Physics

II.b - Year

1987

II.c - Study field and programme

Mathematical Analysis

II.4 - Associate professor

II.a - Name of the university or institution

Comenius University in Bratislava, Faculty of Mathematics and Physics

II.b - Year

1988

II.c - Study field and programme

Mathematics

II.5 - Professor

II.a - Name of the university or institution

Comenius University in Bratislava

II.b - Year

2013

II.c - Study field and programme

Mathematics

II.6 - Doctor of Science (DrSc.)

II.a - Name of the university or institution

Comenius University in Bratislava

II.b - Year

2003

II.c - Study field and programme

Mathematics

III. - Current and previous employment

III.a - Occupation-position	III.b - Institution	III.c - Duration
Research Associate	Institute of Physics, Slovak Academy of Sciences, Bratislava	1987-1990
Research Associate	Comenius University in Bratislava, Faculty of Mathematics and Physics	1990-2001
Associate Professor	Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics	2001-2004
Professor	Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics	2004-present

IV. - Development of pedagogical, professional, language, digital and other skills

V. - Overview of activities within the teaching career at the university

V.1 - Overview of the profile courses taught in the current academic year according to study programmes

V.1.a - Name of the profile course	V.1.b - Study programme	V.1.c - Degree	V.1.d - Field of study
Functional analysis	Mathematics	II	Mathematics
Calculus of Variation	Mathematics	II	Mathematics

V.2 - Overview of the responsibility for the delivery, development and quality assurance of the study programme or its part at the university in the current academic year

V.3 - Overview of the responsibility for the development and quality of the field of habilitation procedure and inaugural procedure in the current academic year

V.3.a - Name of the field of habilitation procedure and inaugural procedure	V.3.b - Study field to which it is assigned
mathematics	mathematics

V.4 - Overview of supervised final theses

V.4.1 - Number of currently supervised theses

V.4.a - Bachelor's (first degree)

V.4.b - Diploma (second degree)

V.4.c - Dissertation (third degree)

V.4.2 - Number of defended theses

V.4.a - Bachelor's (first degree)

V.4.b - Diploma (second degree)

V.4.c - Dissertation (third degree)

V.5 - Overview of other courses taught in the current academic year according to study programmes

VI. - Overview of the research/artistic/other outputs

VI.1 - Overview of the research/artistic/other outputs and the corresponding citations

VI.1.1 - Number of the research/artistic/other outputs

VI.1.a - Overall

VI.1.b - Over the last six years

VI.1.2 - Number of the research/artistic/other outputs registered in the Web of Science or Scopus databases

VI.1.a - Overall

VI.1.b - Over the last six years

VI.1.3 - Number of citations corresponding to the research/artistic/other outputs

VI.1.a - Overall

3209 (until 2024)

VI.1.b - Over the last six years

1110 (period: 2019-2024)

VI.1.4 - Number of citations registered in the Web of Science or Scopus databases

VI.1.a - Overall

2696 (until 2024)

VI.1.b - Over the last six years

1041 (period: 2019-2024)

VI.1.5 - Number of invited lectures at the international, national level

VI.1.a - Overall

133

VI.1.b - Over the last six years

VI.2 - The most significant research/artistic/other outputs

P. Quittner: A priori bounds for global solutions of a semilinear parabolic problem, Acta Math. Univ. Comenianae 68 (1999), 195-203

P. Poláčik, P. Quittner, Ph. Souplet: Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part I: Elliptic equations and systems, Duke Math. J. 139 (2007), 555-579

P. Poláčik, P. Quittner, Ph. Souplet: Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations, Indiana Univ. Math. J. 56 (2007), 879-908

P. Quittner, Ph. Souplet: Superlinear Parabolic Problems. Blow-up, Global Existence and Steady States, Birkhäuser, Basel 2007

P. Quittner: Optimal Liouville theorems for superlinear parabolic problems, Duke Math. J. 170 (2021), 1113-1136

VI.3 - The most significant research/artistic/other outputs over the last six years

P. Quittner, Ph. Souplet: Superlinear Parabolic Problems. Blow-up, Global Existence and Steady States, (2nd - revised and expanded - edition), Birkhäuser, Cham 2019

P. Poláčik, P. Quittner: On the multiplicity of self-similar solutions of the semilinear heat equation, Nonl. Analysis TMA 191 (2020), 111639

P. Polacik, P. Quittner: Entire and ancient solutions of a supercritical semilinear heat equation, Discrete Contin. Dyn. Syst. 41 (2021), 413-438

P. Quittner: Optimal Liouville theorems for superlinear parabolic problems, Duke Math. J. 170 (2021), 1113-1136

P. Quittner: Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure, Partial Differ. Equations Appl. 3 (2022), 26

VI.4 - The most significant citations corresponding to the research/artistic/other outputs

P. Quittner: A priori bounds for global solutions of a semilinear parabolic problem, Acta Math. Univ. Comenianae 68 (1999), 195-203:

Y. Giga, S. Matsui, S. Sasayama: Blow up rate for semilinear heat equation with subcritical nonlinearity, Indiana Univ. Math. J. 53 (2004), 483-514

P. Quittner: A priori bounds for global solutions of a semilinear parabolic problem, Acta Math. Univ. Comenianae 68 (1999), 195-203:

F. Merle, H. Zaag: Determination of the blow-up rate for the semilinear wave equation, Amer. J. Math. 125 (2003), 1147-1164

P. Quittner: Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems, Houston J. Math. 29 (2003), 757-799:

N. Ackermann, T. Bartsch: Superstable manifolds of nondissipative parabolic problems, J. Dynamics Differ. Equations 17 (2005), 115-173

P. Poláčik, P. Quittner, Ph. Souplet: Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part I: Elliptic equations and systems, Duke Math. J. 139 (2007), 555-579:

E.N. Dancer, J. Wei, T. Weth: A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system, Ann. Inst. H. Poincaré 27 (2010), 953-969

P. Poláčik, P. Quittner, Ph. Souplet: Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations, Indiana Univ. Math. J. 56 (2007), 879-908:

G. Koch, N. Nadirashvili, G.A. Seregin, V. Šverák: Liouville theorems for the Navier-Stokes equations and applications, Acta Math. 203 (2009), 83-105

VI.5 - Participation in conducting (leading) the most important research projects or art projects over the last six years

2024-2027, VEGA 1/0245/24: Asymptotic properties of solutions of elliptic and evolution problems, principal investigator

2018-2020, VEGA 1/0347/18: Asymptotic properties of solutions of elliptic and evolution equations, principal investigator

2021-2023, VEGA 1/0339/21: Qualitative properties of solutions of elliptic and evolution equations, principal investigator

2015-2019, APVV-14-0378: Nonlinear phenomena in evolution equations from science and technology, investigator

2019-2023, APVV-18-0308: Nonlinear phenomena in dynamical systems from science and technology, investigator

2024-2028, APVV-23-0039: Qualitative properties of evolution problems from science and technology, investigator

VII. - Overview of organizational experience related to higher education and research/artistic/other activities

VII.a - Activity, position	VII.b - Name of the institution, board	VII.c - Duration
Member of the Editorial Board	journal Acta Mathematica Universitatis Comenianae	1991-present
Member of the Editorial Board	journal Czechoslovak Mathematical Journal	2007-present
Editor	Handbook of Differential Equations. Stationary Partial Differential Equations, Vol. 1-3, North-Holland Publishing Co., Amsterdam	2004-2006
Member of the Organizing Committee	International Conference Equadiff Bratislava	2005
Member of the Organizing Committee	Fifth Euro-Japanese Workshop on Blow-Up, CIRM, Luminy, France	2012

VIII. - Overview of international mobilities and visits oriented on education and research/artistic/other activities in the given field of study

VIII.a - Name of the institution	VIII.b - Address of the institution	VIII.c - Duration (indicate the duration of stay)	VIII.d - Mobility scheme, employment contract, other (describe)
Universität Zürich	Zürich	1 semester 2002	visiting associate professor
Justus-Liebig-Universität	Giessen	2x1 year 2003-2004, 2008	visiting professor
Université de Metz, Université de Picardie, Université H. Poincaré, Université de Versailles, Université Paris Nord	Metz, St. Quentin, Nancy, Versailles, Villetaneuse	7x1 month 1994-2010	visiting professor
University of Helsinki	Helsinki	2 months 2005	visiting researcher
Nečas Center for Mathematical Modeling	Praha	2 months 2006	visiting researcher
universities and research institutes	Praha, Zürich, Zagreb, Paris, Cachan, Wien, Metz, Leipzig, Basel, Madrid, Besancon, Konstanz, Brno, Giessen, Nancy, Köln, Minneapolis, Tokyo, Sapporo, Frankfurt am Main, Brighton, Roma	50 short (mostly 1 week) stays 1985-2024	invitation

IX. - Other relevant facts

Date of last update

2024-11-26

Name and surname:	prof. RNDr. Pavol Quittner, DrSc.
Document type:	Research/art/teacher profile of a person
The name of the university:	Comenius University Bratislava
The seat of the university:	Šafárikovo námestie 6, 818 06 Bratislava