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.
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