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THE SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM
Acta Mathematica Scientia, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mo, Jiaqi, Han, Xianglin, Chen, Songlin
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Blow-up in Nonlocal Reaction-Diffusion Equations
SIAM Journal on Mathematical Analysis, 1998The author presents blow-up results for reaction-diffusion equations with nonlocal nonlinearities of the following general form \[ u_{t}-\Delta u=F^{t}(R^{t}u)(x),\quad t>0,\quad x\in\Omega, \] where, for each \(t>0\), \(F^{t}: C([0,t]\times \overline\Omega)\to C(\overline\Omega)\), and the past time restriction operator \(R^{t}\) is defined by \(R^{t ...
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