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In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.
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참고문헌 (22)
참고문헌 신청
Naoufel Ben Abdallah / 2004 / A note on the long time behavior for the drift-diffusion-Poisson system / Comptes Rendus Mathematique 339(10):683~688
Piotr Biler / 2000 / Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems / Annales Henri Poincaré 1(3):461~472
Piotr Biler / 1994 / The Debye system: existence and large time behavior of solutions / Nonlinear Analysis: Theory, Methods & Applications 23(9):1189~1209
I. Chueshov / 2004 / Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation / Mat. Fiz. Anal. Geom 11(2):226~242
Andrew B. Ferrari / 1998 / Gevrey regularity for nonlinear analytic parabolic equations / Communications in Partial Differential Equations 23(1):424~448
Piotr Biler / 2000 / Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems / Annales Henri Poincaré 1(3):461~472
Piotr Biler / 1994 / The Debye system: existence and large time behavior of solutions / Nonlinear Analysis: Theory, Methods & Applications 23(9):1189~1209
I. Chueshov / 2004 / Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation / Mat. Fiz. Anal. Geom 11(2):226~242
Andrew B. Ferrari / 1998 / Gevrey regularity for nonlinear analytic parabolic equations / Communications in Partial Differential Equations 23(1):424~448
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