Geodesic
The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case
Janusz Mierczy/nski1
1 Institute of Mathematics Wroc/law University of Technology Wybrze/ze Wyspiańskiego 27 50-370 Wroc/law, Poland
Colloquium Mathematicum, Tome 90 (2001) no. 1, pp. 95-100.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the study of the principal spectrum of a linear nonautonomous parabolic PDE of second order $u_t={{\mit \Delta }}u+a(t)u$ on a bounded domain, with the Dirichlet or Neumann boundary conditions, reduces to the investigation of the spectrum of the linear nonautonomous ODE $\dot {v}=a(t)v$.
DOI : 10.4064/cm90-1-8
Keywords: study principal spectrum linear nonautonomous parabolic pde second order mit delta u bounded domain dirichlet neumann boundary conditions reduces investigation spectrum linear nonautonomous ode dot

Janusz Mierczy/nski 1

1 Institute of Mathematics Wroc/law University of Technology Wybrze/ze Wyspiańskiego 27 50-370 Wroc/law, Poland 
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Space-independent case
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Janusz Mierczy/nski. The principal spectrum for linear
nonautonomous parabolic PDEs of second order:
Space-independent case. Colloquium Mathematicum, Tome 90 (2001) no. 1, pp. 95-100. doi : 10.4064/cm90-1-8. http://geodesic.mathdoc.fr/articles/10.4064/cm90-1-8/

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