We study the large time behavior of nonnegative solutions of the Cauchy problem u t = R J ( x − y )( u ( y,t ) − u ( x,t )) dy − u p , u ( x, 0) = u 0 ( x ) ∈ L ∞ , where | x | α u 0 ( x ) → A > 0 as | x |→∞ . One of our ...

We study the decay/growth rates in all Lp norms of solutions to an inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend ...

We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0 < α < 1). These are known as subdiffusion equations. The initial data are assumed to be ...

© 2021We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0<α<1). These are known as subdiffusion equations. The initial data are assumed to be ...

In this paper we continue our study of the large time behavior of the bounded solution to the nonlocal diffusion equation with absorption ut=Lu−upin RN×(0,∞),u(x,0)=u0(x)in RN, where p>1, u0⩾0 and bounded and Lu(x,t)=∫J( ...

Objectives were to quantify lying behavior (LB) during an estradiol and progesterone-based synchronization protocol, to assess risk factors for ovulation, pregnancy per AI (P/AI), and degree of behavioral change at estrus, ...

We study the large-time behavior in all Lp norms and in different space-time scales of solutions to a nonlocal heat equation in ℝN involving a Caputo α-time derivative and a power of the Laplacian (−Δ)s, s ∈ (0,1), extending ...