Explicit estimates for solutions of nonlinear radiation-type problems

Verfasser / Beitragende:
[Luisa Consiglieri]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/7(2015-07-01), 1123-1140
Format:
Artikel (online)
ID: 605461279
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024 7 0 |a 10.1007/s10114-015-4419-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4419-x 
100 1 |a Consiglieri  |D Luisa  |u 1600-256, Lisbon, European Union  |4 aut 
245 1 0 |a Explicit estimates for solutions of nonlinear radiation-type problems  |h [Elektronische Daten]  |c [Luisa Consiglieri] 
520 3 |a We establish the existence of weak solutions of a nonlinear radiation-type boundary value problem for elliptic equation on divergence form with discontinuous leading coefficient. Quantitative estimates play a crucial role on the real applications. Our objective is the derivation of explicit expressions of the involved constants in the quantitative estimates, the so-called absolute or universal bounds. The dependence on the leading coefficient and on the size of the spatial domain is precise. This work shows that the expressions of those constants are not so elegant as we might expect. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Elliptic equation  |2 nationallicence 
690 7 |a estimate  |2 nationallicence 
690 7 |a regularity  |2 nationallicence 
690 7 |a radiation-type boundary condition  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1123-1140  |x 1439-8516  |q 31:7<1123  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4419-x  |q text/html  |z Onlinezugriff via DOI 
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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/s10114-015-4419-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Consiglieri  |D Luisa  |u 1600-256, Lisbon, European Union  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1123-1140  |x 1439-8516  |q 31:7<1123  |1 2015  |2 31  |o 10114