Shift differentials of maps in BV spaces

Nonlinear Theory of Generalized Functions

Volumn , Issue , 2022, Pages 47-61

  Bressan, Alberto ^a   Lewicka, Marta ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85136533696     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (11)

1. Bressan, A. & Colombo, R.M.: The semigroup generated by 2 × 2 conservation laws, Arch. Rational Mech. Anal. 133 (1995), 1-75.
2. Bressan, A. & Guerra, G.: Shift-differentiability of the flow generated by a conservation law, Discr. Cont. Dynam. Syst. 3 (1997), 35-58.
3. Bressan, A. & Marson, A.: A variational calculus for shock solutions of systems of conservation laws, Comm. Part. Diff. Eq. 20 (1995), 1491-1553.
4. Clarke, F.H.: Optimization and Nonsmooth Analysis, Wiley Interscience, 1983.
5. Crandall, M.: The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math. 26 (1977), 1097-1119.
6. Dieudonné, J.: Foundations of Modern Analysis, 4th ed, Academic Press, New York 1963.
7. Evans, L.C. & Gariepy, R.F.: Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, 1992.
8. Krúžkov, S.: First order quasilinear equations with several space variables, Math. USSR Sbornik 10 (1970), 217-243.
9. Rudin, W.: Real and Complex Analysis, 2nd ed., McGraw Hill, New York, 1974.
10. Smoller, J.: Shock waves and reaction diffusion equations, Springer-Verlag, New York, 1982.
11. Ziemer, W.P.: Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation, Springer-Verlag, New York, 1989.