28 citations · 154 across the 56 of their papers we have counts for
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Radial equivalence and applications to the qualitative theory for a class of non-homogeneous reaction-diffusion equations
Razvan Gabriel Iagar, Ariel Sánchez
Some transformations acting on radially symmetric solutions to the following class of non-homogeneous reaction-diffusion equations $$ |x|^{σ_1}\partial_tu=Δu^m+|x|^{σ_2}u^p, \qquad…
Thermal Casimir effect in Gödel-type universes
A. F. Santos, Faqir C. Khanna
In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo…
Finite time extinction for a diffusion equation with spatially inhomogeneous strong absorption
Razvan Gabriel Iagar, Philippe Laurençot
The phenomenon of finite time extinction of bounded and non-negative solutions to the diffusion equation with strong absorption $$\partial_t u-Δu^m+|x|^σu^q=0, \qquad (t,x)\in(0,\i…
Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation posed for , wit…
A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential
Razvan Gabriel Iagar, Ariel Sánchez
Existence and uniqueness of a specific self-similar solution is established for the following reaction-diffusion equation with Hardy singular potential $$ \partial_tu=Δu^m+|x|^{-2}…
Self-similar shrinking of supports and non-extinction for a nonlinear diffusion equation with spatially inhomogeneous strong absorption
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
We study the dynamics of the following porous medium equation with strong absorption posed for , with $m…
Non-existence of nonnegative separate variable solutions to a porous medium equation with spatially dependent nonlinear source
Razvan Gabriel Iagar, Philippe Laurençot
The non-existence of nonnegative compactly supported classical solutions to with , , and $N…