caa a22 4500 445843837 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00526-010-0385-4 doi (NATIONALLICENCE)springer-10.1007/s00526-010-0385-4 Ishii Hitoshi Department of Mathematics, Faculty of Education and Integrated Arts and Sciences, Waseda University, Nishi-Waseda, Shinjuku, 169-8050, Tokyo, Japan aut Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions [Elektronische Daten] [Hitoshi Ishii] We study the long-time asymptotic behavior of solutions u of the Hamilton-Jacobi equation u t (x, t)+H(x, Du(x, t))=0 in Ω × (0, ∞), where Ω is a bounded open subset of $${\mathbb{R}^n}$$ , with Hamiltonian H=H(x, p) being convex and coercive in p, and establish the uniform convergence of u to an asymptotic solution as t → ∞. Springer-Verlag, 2010 Calculus of Variations and Partial Differential Equations Springer-Verlag 42/1-2(2011-09-01), 189-209 0944-2669 42:1-2<189 2011 42 526 https://doi.org/10.1007/s00526-010-0385-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0385-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ishii Hitoshi Department of Mathematics, Faculty of Education and Integrated Arts and Sciences, Waseda University, Nishi-Waseda, Shinjuku, 169-8050, Tokyo, Japan aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 42/1-2(2011-09-01), 189-209 0944-2669 42:1-2<189 2011 42 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer