Differentiability of solutions of some evolution equations in nonreflexive Banach spaces

DOI10.1007/BF02412005zbMath0416.35039MaRDI QIDQ754383

Gabriella Di Blasio

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationevolution equationskinetic theorydifferentiability of solutionsregularity resultkinetic equation of vehicular trafficunified treatment of the Cauchy problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Kinematics of a rigid body (70B10) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (3)

On the nonlinear Boltzmann equation with force term ⋮ Global solutions of the kinetic equation for vehicular traffic in the low-density case ⋮ On the spatially homogeneous Boltzmann equation with a velocity-dependent force term

Cites Work

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• Differentiability of spatially homogeneous solutions of the Boltzmann equation in the non Maxwellian case
• Nonlinear perturbations and abstract evolution equations in general Banach spaces
• On a certain class of semilinear evolution systems
• Non-linear semi-groups
• On the Boltzmann equation. I: Existence
• Global solutions of the kinetic equation for vehicular traffic in the low-density case
• Perturbation Theory for Semi-Groups of Linear Operators

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