48 citations · 178 across the 24 of their papers we have counts for
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math.AP2012
Systems of reaction-diffusion equations with spatially distributed hysteresis
Pavel Gurevich, Sergey Tikhomirov
We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis in the right-hand side. The input of hysteresis is given by a vector-valued fun…
math.AP2012★ 24 cited
Reaction-diffusion equations with spatially distributed hysteresis
Pavel Gurevich, Roman Shamin, Sergey Tikhomirov
The paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems desc…
math.AP2012★ 18 cited
Uniqueness of transverse solutions for reaction-diffusion equations with spatially distributed hysteresis
Pavel Gurevich, Sergey Tikhomirov
The paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. Such problems describe biological…