Abstract:
On the basis of a theorem on the global solvability of abstract equations that generalizes earlier results of the author, theorems on the solvability of the nonlinear stationary one-velocity transfer equation for the general and periodic cases are obtained.
Citation:
M. F. Sukhinin, “Solvability of nonlinear stationary transfer equation”, TMF, 103:1 (1995), 23–31; Theoret. and Math. Phys., 103:1 (1995), 366–373
This publication is cited in the following 4 articles:
Adrien Dekkers, Anna Rozanova-Pierrat, “Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains”, Journal of Mathematical Analysis and Applications, 512:1 (2022), 126089
Adrien Dekkers, Anna Rozanova-Pierrat, Alexander Teplyaev, “Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries”, Calc. Var., 61:2 (2022)
N. Hamdi, “An inverse problem for a nonlinear transport equation with final overdetermination”, Lobachevskii J Math, 29:4 (2008), 230
A. V. Rozanova, “Controllability for a Nonlinear Abstract Evolution Equation”, Math. Notes, 76:4 (2004), 511–524