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Total Variation Flow and Sign Fast Diffusion in one dimension
Fast Diffusion Total Variation Flow asymptotic extinction profile convergence rates extinction time
2011/9/1
Abstract: We consider the dynamics of the Total Variation Flow (TVF) $u_t=\div(Du/|Du|)$ and of the Sign Fast Diffusion Equation (SFDE) $u_t=\Delta\sign(u)$ in one spatial dimension. We find the expli...
Variation formulas for principal functions (II) Applications to variation for harmonic spans
pseudoconvexity Stein manifold Riemann surface
2011/1/17
For a domain D in Cz with smooth boundary and for a, b ∈ D, a 6= b, we have the circular (radial) slit mapping P(z)(Q(z)) on D such that P(z) − 1 z−a (Q(z) − 1 z−a ) is regular...
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts
convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions variation of equilibrium energy $S$-property of stationary compacts
2011/1/17
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...