caa a22 4500 445843276 CHVBK 20180317145351.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00526-010-0363-x doi (NATIONALLICENCE)springer-10.1007/s00526-010-0363-x Tran Hung Department of Mathematics, University of California, 94720, Berkeley, CA, USA aut Adjoint methods for static Hamilton-Jacobi equations [Elektronische Daten] [Hung Tran] We use the adjoint methods to study the static Hamilton-Jacobi equations and to prove the speed of convergence for those equations. The main new ideas are to introduce adjoint equations corresponding to the formal linearizations of regularized equations of vanishing viscosity type, and from the solutions σ ε of those we can get the properties of the solutions u of the Hamilton-Jacobi equations. We classify the static equations into two types and present two new ways to deal with each type. The methods can be applied to various static problems and point out the new ways to look at those PDE. The Author(s), 2010 Calculus of Variations and Partial Differential Equations Springer-Verlag 41/3-4(2011-07-01), 301-319 0944-2669 41:3-4<301 2011 41 526 https://doi.org/10.1007/s00526-010-0363-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0363-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tran Hung Department of Mathematics, University of California, 94720, Berkeley, CA, USA aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 41/3-4(2011-07-01), 301-319 0944-2669 41:3-4<301 2011 41 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer