In this paper, we find the critical exponent for global small data solutions to the Cauchy
problem in R n, for dissipative evolution equations with power nonlinearities| u| p or| ut| p, ut …

In this paper, we derive long time L p− L q decay estimates, in the full range 1≤ p≤ q≤∞,
for time-dependent multipliers in which an interplay between an oscillatory component and a …

In this paper, we find the critical exponent for the existence of global small data solutions to:
ut t+(− Δ) σ u+(− Δ) θ 2 ut= f (u, ut), t≥ 0, x∈ R n,(u, ut)(0, x)=(0, u 1 (x)), in the case of so …

Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical
dissipation Page 1 Received: 13 August 2016 DOI: 10.1002/mma.4469 RESEARCH …

Abstract evolution differential equations of second order in time are studied in order to get
(almost) optimal decay estimates to the corresponding energy functional of the equations …

In this paper we derive $ L^ pL^ q $ estimates, with $1\leq p\leq q\leq\infty $(including
endpoint estimates as $ L^ 1-L^ 1$ and $ L^ 1-L^\infty $), for the solution to\[\begin {cases} …

In this work we study decay rates for the L 2-norm of solutions to the plate equation with
fractional damping and a pseudo fractional rotational inertia term. We also show that the …

Asymptotic Profiles for a Strongly Damped Beam Equation with a Lower Order Perturbation
Page 1 Asymptotic Profiles for a Strongly Damped Beam Equation with a Lower Order …

In this paper we derive sharp\(L^ pL^ q\) estimates,\(1\le p\le q\le\infty\)(including endpoint
estimates as\(L^ 1-L^ 1\) and\(L^ 1-L^\infty\)) for dissipative wave-type equations, under the …

In this work we study asymptotic properties of global solutions for an initial value problem of
a second order fractional differential equation with structural damping. The evolution …