Cusp Formation for a Nonlocal Evolution Equation
نویسندگان
چکیده
منابع مشابه
Numerical Approximations for a Nonlocal Evolution Equation
In this paper we study numerical approximations of the nonlocal p−Laplacian type diffusion equation, ut(t, x) = ∫ Ω J(x− y)|u(t, y)− u(t, x)|p−2(u(t, y)− u(t, x)) dy. First, we find that a semidiscretization in space of this problem gives rise to an ODE system whose solutions converge uniformly to the continuous one as the mesh size goes to zero. Moreover, the semidiscrete approximation shares ...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2017
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-017-1094-3