most citedA Discontinuous Differential Calculus in the Framework Colombeau's Full Algebra

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math.DS2017

Dissipative property for a class of non local evolution equations

Severino H. da Silva, Antonio R. G. Garcia, Bruna E. P. Lucena

In this work we consider the non local evolution problem \[ \begin{cases} \partial_t u(x,t)=-u(x,t)+g(βK(f\circ u)(x,t)+βh), ~x \inΩ, ~t\in[0,\infty[;\\ u(x,t)=0, ~x\in\mathbb{R}^N…

math.DS2017

A gradient flow generated by a nonlocal model of a neural field in an unbounded domain

Severino Horácio da Silva, Antônio Luiz Pereira

In this paper we consider the non local evolution equation We…