The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case

Janusz Mierczyński. "The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case." Colloquium Mathematicae 90.1 (2001): 95-100. <http://eudml.org/doc/283645>.

@article{JanuszMierczyński2001,
abstract = {We show that the study of the principal spectrum of a linear nonautonomous parabolic PDE of second order $u_t = Δu + a(t)u$ on a bounded domain, with the Dirichlet or Neumann boundary conditions, reduces to the investigation of the spectrum of the linear nonautonomous ODE v̇ = a(t)v.},
author = {Janusz Mierczyński},
journal = {Colloquium Mathematicae},
keywords = {Krein-Rutman bundle; essentially bounded function; exponential growth rates of solutions},
language = {eng},
number = {1},
pages = {95-100},
title = {The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case},
url = {http://eudml.org/doc/283645},
volume = {90},
year = {2001},
}

TY - JOUR
AU - Janusz Mierczyński
TI - The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case
JO - Colloquium Mathematicae
PY - 2001
VL - 90
IS - 1
SP - 95
EP - 100
AB - We show that the study of the principal spectrum of a linear nonautonomous parabolic PDE of second order $u_t = Δu + a(t)u$ on a bounded domain, with the Dirichlet or Neumann boundary conditions, reduces to the investigation of the spectrum of the linear nonautonomous ODE v̇ = a(t)v.
LA - eng
KW - Krein-Rutman bundle; essentially bounded function; exponential growth rates of solutions
UR - http://eudml.org/doc/283645
ER -