Victor A. Galaktionov

The problem Of blow-up in nonlinear parabolic equations

Victor A. Galaktionov, Juan Luís Vázquez · Discrete and Continuous Dynamical Systems · 2002 · 386 citations

Parabolic Equation, Nonlinear Parabolic Equations, Nonlinear Hyperbolic Problem +5

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

Victor A. Galaktionov, Juan Luís Vázquez · Communications on Pure and Applied Mathematics · 1997 · 310 citations

Geometric Partial Differential Equation, Several Space Dimensions, Nonlinear Heat Equations +8

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

Victor A. Galaktionov · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1995 · 183 citations

New Explicit Solutions, Invariant Subspaces, Quasilinear Evolution Equations +10

A general approach to critical Fujita exponents in nonlinear parabolic problems

Victor A. Galaktionov, Howard A. Levine · Nonlinear Analysis · 1998 · 140 citations

Nonlinear Parabolic Problems, Elliptic Equation, General Approach +5

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 · 130 citations

Monge-ampere Equation, Elliptic Equation, Geometric Partial Differential Equation +5