D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 34 Citations 5,175 153 World Ranking 1573 National Ranking 97

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Mathematical analysis, Heat equation, Nonlinear system, Bounded function and Initial value problem are his primary areas of study. His research in Mathematical analysis intersects with topics in Critical exponent and Pure mathematics. He combines subjects such as Function, Thermal diffusivity and Sign with his study of Heat equation.

His study in the field of Stochastic partial differential equation also crosses realms of Third order nonlinear. His Bounded function study combines topics in areas such as Nonlinear boundary, Boundary and Combinatorics. His study looks at the relationship between Initial value problem and topics such as Dynamical systems theory, which overlap with Stationary state, Singular perturbation, Critical value and Dynamical system.

His most cited work include:

  • The problem of blow-up in nonlinear parabolic equations (267 citations)
  • Continuation of blowup solutions of nonlinear heat equations in several space dimensions (239 citations)
  • Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (203 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Mathematical analysis, Heat equation, Nonlinear system, Parabolic partial differential equation and Initial value problem. As part of his studies on Mathematical analysis, Victor A. Galaktionov often connects relevant subjects like Critical exponent. His Heat equation study also includes

  • Boundary value problem most often made with reference to Type,
  • Sign most often made with reference to Mathematical physics.

Victor A. Galaktionov interconnects Class, Countable set and Ode, Applied mathematics in the investigation of issues within Nonlinear system. His research integrates issues of Zero, Gravitational singularity and Exponential function in his study of Parabolic partial differential equation. His Initial value problem research incorporates themes from Order, Uniform boundedness, Thin-film equation and Wave equation.

He most often published in these fields:

  • Mathematical analysis (82.74%)
  • Heat equation (35.40%)
  • Nonlinear system (34.07%)

What were the highlights of his more recent work (between 2013-2019)?

  • Mathematical analysis (82.74%)
  • Pure mathematics (17.26%)
  • Nonlinear system (34.07%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Mathematical analysis, Pure mathematics, Nonlinear system, Initial value problem and Thin-film equation. His Mathematical analysis study frequently draws parallels with other fields, such as Countable set. The study incorporates disciplines such as Singularity and Bounded function in addition to Pure mathematics.

Victor A. Galaktionov usually deals with Nonlinear system and limits it to topics linked to Schrödinger equation and Zero. The Thin-film equation study which covers Nabla symbol that intersects with Order and Combinatorics. His Partial differential equation research integrates issues from Linear subspace, Invariant and Differential equation.

Between 2013 and 2019, his most popular works were:

  • Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (203 citations)
  • Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (17 citations)
  • Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches (12 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Victor A. Galaktionov focuses on Mathematical analysis, Nonlinear system, Heat equation, Countable set and Thin-film equation. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Structure and Eigenvalues and eigenvectors, Eigenfunction. His Nonlinear system research includes elements of Partial differential equation and Schrödinger equation.

His Partial differential equation research is multidisciplinary, incorporating perspectives in Linear subspace, Invariant and Differential equation. His Heat equation research includes themes of Zero mass, Subspace topology, Compact space, Function and Term. His studies deal with areas such as Initial value problem, Bounded function and Pure mathematics as well as Thin-film equation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

The problem of blow-up in nonlinear parabolic equations

Victor A. Galaktionov;Juan-Luis Vázquez.
Discrete and Continuous Dynamical Systems (2002)

450 Citations

Continuation of blowup solutions of nonlinear heat equations in several space dimensions

Victor A. Galaktionov;Juan L. Vazquez.
Communications on Pure and Applied Mathematics (1997)

373 Citations

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Victor A. Galaktionov;Sergey R. Svirshchevskii.
(2019)

306 Citations

Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities

Victor A. Galaktionov.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1995)

216 Citations

A general approach to critical Fujita exponents in nonlinear parabolic problems

Victor A. Galaktionov;Howard A. Levine.
Nonlinear Analysis-theory Methods & Applications (1998)

169 Citations

On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary

Victor A. Galaktionov;Howard A. Levine.
Israel Journal of Mathematics (1996)

168 Citations

A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach

Victor A. Galaktionov;Juan Luis Vázquez.
(2003)

155 Citations

Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications

Victor A. Galaktionov.
(2004)

145 Citations

Blow-up for quasilinear heat equations with critical Fujita's exponents

Victor A. Galaktionov.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1994)

142 Citations

Quasilinear heat equations with first-order sign-invariants and new explicit solutions

Victor A. Galaktionov.
Nonlinear Analysis-theory Methods & Applications (1994)

112 Citations

Best Scientists Citing Victor A. Galaktionov

Juan Luis Vázquez

Juan Luis Vázquez

Autonomous University of Madrid

Publications: 43

Julio D. Rossi

Julio D. Rossi

University of Buenos Aires

Publications: 27

Michael Winkler

Michael Winkler

University of Paderborn

Publications: 25

Philippe Souplet

Philippe Souplet

Université Paris Cité

Publications: 22

Philippe Laurençot

Philippe Laurençot

Toulouse Mathematics Institute

Publications: 16

Carlos Frederico Duarte Rocha

Carlos Frederico Duarte Rocha

Rio de Janeiro State University

Publications: 11

Bao-Zhu Guo

Bao-Zhu Guo

Academy of Mathematics and Systems Science

Publications: 9

Filippo Gazzola

Filippo Gazzola

Politecnico di Milano

Publications: 9

Enzo Mitidieri

Enzo Mitidieri

University of Trieste

Publications: 8

Dumitru Baleanu

Dumitru Baleanu

Çankaya University

Publications: 8

Manuel del Pino

Manuel del Pino

University of Bath

Publications: 8

Mingxin Wang

Mingxin Wang

Harbin Institute of Technology

Publications: 8

Ansgar Jüngel

Ansgar Jüngel

TU Wien

Publications: 7

Peter A. Clarkson

Peter A. Clarkson

University of Kent

Publications: 7

Robert J. McCann

Robert J. McCann

University of Toronto

Publications: 5

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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