The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case
Janusz Mierczyński
Colloquium Mathematicae, Tome 89 (2001), p. 95-100 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We show that the study of the principal spectrum of a linear nonautonomous parabolic PDE of second order ut=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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:283645 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-8,
     author = {Janusz Mierczy\'nski},
     title = {The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case},
     journal = {Colloquium Mathematicae},
     volume = {89},
     year = {2001},
     pages = {95-100},
     zbl = {0999.35063},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-8}
}

Janusz Mierczyński. The principal spectrum for linear nonautonomous parabolic PDEs of second order: Space-independent case. Colloquium Mathematicae, Tome 89 (2001) pp. 95-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-8/