On some singular systems of parabolic functional equations
László Simon (2010)
Mathematica Bohemica
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We will prove existence of weak solutions of a system, containing non-local terms , .
Displaying similar documents to “On some nonlocal systems containing a parabolic PDE and a first order ODE”
On some singular systems of parabolic functional equations
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Systems of reaction-diffusion equations with spatially distributed hysteresis
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Mathematica Bohemica
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We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis on the right-hand side. The input of the hysteresis is given by a vector-valued function of space and time. Such systems describe hysteretic interaction of non-diffusive (bacteria, cells, etc.) and diffusive (nutrient, proteins, etc.) substances leading to formation of spatial patterns. We provide sufficient conditions under which the problem is well posed in spite of the assumed discontinuity...