caa a22 4500 386383200 CHVBK 20180307112049.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500018631 doi S0308210500018631 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500018631 Evans Lawrence C. Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A. The perturbed test function method for viscosity solutions of nonlinear PDE [Elektronische Daten] [Lawrence C. Evans] The method of viscosity solutions for nonlinear partial differential equations (PDEs) justifies passages to limits by in effect using the maximum principle to convert to the corresponding limit problem for smooth test functions. We describe in this paper a "perturbed test function” device, which entails various modifications of the test functions by lower order correctors. Applications include homogenisation for quasilinear elliptic PDEs and approximation of quasilinear parabolic PDEs by systems of Hamilton-Jacobi equations. Copyright © Royal Society of Edinburgh 1989 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/3-4(1989), 359-375 0308-2105 111:3-4<359 1989 111 PRM https://doi.org/10.1017/S0308210500018631 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500018631 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Evans Lawrence C. Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/3-4(1989), 359-375 0308-2105 111:3-4<359 1989 111 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge