# A singular perturbation nonlinear boundary value problem and the $E$-condition for a scalar conservation law

@inproceedings{Jiang1992ASP, title={A singular perturbation nonlinear boundary value problem and the \$E\$-condition for a scalar conservation law}, author={J. Z. Jiang and X. K. Wang}, year={1992} }

- Published 1992
DOI:10.1090/qam/1178434

This paper deals with the singular perturbation boundary value problem r e(k(v(s))v'{s))' + (sg(v(s)) <p(v{s)))v'(s) + = 0 in R, 1 u(—oc) = A , v(+oo ) = B; e>0, A<B whose solution ve(s) is constructed by the aid of the solution we(t) to the two-point boundary value problem /w\t) (p{t) + ef(t)k(t)/w{t) V _ ek(t) \ g(t) J w(t) ' w{A) = 0, w(B) 0. The restrictions on <p(t), g(t), k(t), and f(t) not only ensure that the two-point boundary value problem has a solution we(t) but also guarantee that… CONTINUE READING

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