A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains
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| 003 | CHVBK | ||
| 005 | 20210128100710.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0861-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0861-2 | ||
| 245 | 0 | 2 | |a A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains |h [Elektronische Daten] |c [Matteo Bonforte, Juan Vázquez] |
| 520 | 3 |
|a We investigate quantitative properties of the nonnegative solutions $${u(t,x)\geq 0}$$ u ( t , x ) ≥ 0 to the nonlinear fractional diffusion equation, $${\partial_t u + \mathcal{L} (u^m)=0}$$ ∂ t u + L ( u m ) = 0 , posed in a bounded domain, $${x\in\Omega\subset \mathbb{R}^N}$$ x ∈ Ω ⊂ R N , with m>1 for t>0. As $${\mathcal{L}}$$ L we use one of the most common definitions of the fractional Laplacian $${(-\Delta)^s}$$ ( - Δ ) s , 0 | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Bonforte |D Matteo |u Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049, Madrid, Spain |4 aut | |
| 700 | 1 | |a Vázquez |D Juan |u Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049, Madrid, Spain |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 317-362 |x 0003-9527 |q 218:1<317 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0861-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0861-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bonforte |D Matteo |u Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Vázquez |D Juan |u Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 317-362 |x 0003-9527 |q 218:1<317 |1 2015 |2 218 |o 205 | ||