EUDML

Advanced Search

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Absence of global solutions to a class of nonlinear parabolic inequalities

M. Guedda — 2002

Colloquium Mathematicae

We study the absence of nonnegative global solutions to parabolic inequalities of the type $u_{t} \geq - {(- Δ)}^{β / 2} u - V (x) u + h (x, t) u^{p}$ , where ${(- Δ)}^{β / 2}$ , 0 < β ≤ 2, is the β/2 fractional power of the Laplacian. We give a sufficient condition which implies that the only global solution is trivial if p > 1 is small. Among other properties, we derive a necessary condition for the existence of local and global nonnegative solutions to the above problem for the function V satisfying ${V ₊ (x) \sim a | x |}^{- b}$ , where a ≥ 0, b > 0, p > 1 and V₊(x): = maxV(x),0. We...

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 4 of 4

Absence of global solutions to a class of nonlinear parabolic inequalities

On nonhomogeneous biharmonic equations involving critical Sobolev exponent.

Self-similar solutions of convection-diffusion processes.

Nonexistence of global solutions of nonlinear wave equations.