Found 38 Documents (Results 1–38)
A resolvent approach for the stability of the critical or essential spectra to perturbed \(C_0\)-semigroups on Banach spaces with application in biological transport. (English) Zbl 07814081
A new generation criterion theorem for \(C_0\)-semigroups implying a generalization of Kaiser-Weis-Batty’s perturbation theorem. (English) Zbl 07785489
Existence results for a nonlinear coupled radiative-conductive heat transfer system. (English) Zbl 07590700
Existence results for nonlinear mono-energetic singular transport equations: \(L^p\)-spaces. (English) Zbl 1491.35385
Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons. (English) Zbl 1489.47075
On the asymptotic spectrum of a transport operator with elastic and inelastic collision operators. (English) Zbl 1493.47051
Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies. (English) Zbl 1463.47227
Existence results for a class of nonlinear singular transport equations in bounded spatial domains. (English) Zbl 1445.35121
Existence results for nonlinear mono-energetic singular transport equations: \(L_1\)-spaces. (English) Zbl 1409.35052
Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: a semigroup approach in \(L^1\)-spaces. (English) Zbl 1387.35442
Stability of Schechter essential spectrum of \(2 \times 2\) block operator matrix by means of measure of non strict singularity and application. (English) Zbl 1508.47005
Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies. (English) Zbl 1358.47035
Existence results for a nonlinear transport equation with unbounded admissible velocities space. (English) Zbl 1355.35046
Essential spectra of some matrix operators involving \(\gamma\)-relatively bounded entries and an application. (English) Zbl 1502.47005
On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length. (English) Zbl 1339.92021
Spectral theory for neutron transport. (English) Zbl 1323.35177
Banasiak, Jacek (ed.) et al., Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Cham: Springer (ISBN 978-3-319-11321-0/pbk; 978-3-319-11322-7/ebook). Lecture Notes in Mathematics 2126, 319-386 (2015).
Existence results for a nonlinear version of Rotenberg model with infinite maturation velocities. (English) Zbl 1354.92026
Time asymptotic description of an abstract Cauchy problem solution and application to transport equation. (English) Zbl 1313.35055
Reviewer: Mustapha Mokhtar-Kharroubi (Besançon)
On \(L^1\) exponential trend to equilibrium for conservative linear kinetic equations on the torus. (English) Zbl 1304.47055
Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations. (English) Zbl 1447.92342
Existence results for a nonlinear transport equation in bounded geometry on \(L^{1}\)-spaces. (English) Zbl 1288.35192
MSC:
35F30
Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population. (English) Zbl 1263.92044
Reviewer: Christian Fenske (Gießen)
Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of some matrix operator and application to two-group transport equation. (English) Zbl 1217.15013
Reviewer: Jaspal Singh Aujla (Jalandhar)
Positivity and stability of the essential spectrum for singular transport semigroups with non-vacuum boundary conditions. (English) Zbl 1203.35075
Essential spectra of a \(3 \times 3\) operator matrix and an application to three-group transport equations. (English) Zbl 1198.47004
Some applications of the regularity and irreducibility on transport theory. (English) Zbl 1231.47036
Leray-Schauder alternatives for weakly sequentially continuous mappings and application to transport equation. (English) Zbl 1193.47056
Reviewer: Michael I. Gil’ (Beer-Sheva)
A characterization of some subsets of Schechter’s essential spectrum and application to singular transport equation. (English) Zbl 1188.47013
Reviewer: Hans-Olav Tylli (Helsinki)
Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry. (English) Zbl 1139.35329
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