The Faber--Krahn inequality for random/nonautonomous parabolic equations
Janusz Mierczyński, Wenxian Shen · Communications on Pure & Applied Analysis · 2005
The paper extends the Faber--Krahn inequality forelliptic and periodic parabolic problems to random and generalnonautonomous parabolic problems. Under proper assumptions, italso provides necessary and sufficient conditions for theFaber-Krahn inequality being equality.