Carmen Cort'azar

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math.AP2024

A semilinear problem associated to the space-time fractional heat equation in $R^{N}$

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the fully nonlocal semilinear equation $\partial_{t}^{α} u + (- Δ)^{β} u = ∣ u ∣^{p - 1} u$ , $p \geq 1$ , where $\partial_{t}^{α}$ stands for the Caputo derivative of order $α \in (0, 1)$ and $(-Δ)^β…

math.AP2023

Asymptotic profiles for inhomogeneous heat equations with memory

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the large-time behavior in all $L^{p}$ norms of solutions to an inhomogeneous nonlocal heat equation in $R^{N}$ involving a Caputo $α$ -time derivative and a power $β$ …

A semilinear problem associated to the space-time fractional heat equation in RN

Asymptotic profiles for inhomogeneous heat equations with memory

A semilinear problem associated to the space-time fractional heat equation in $R^{N}$