Measure differential equation with a nonlinear growth/decay term
We obtain an existence result for a Measure Differential Equation with an additional nonlinear growth/decay term that may change the sign. The proof requires a modification of approximating schemes proposed by Piccoli and Rossi. The new scheme combines model discretisation with the exponential solut...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
30 Sep 2021
|
| In: |
Arxiv
Year: 2021, Pages: 1-30 |
| DOI: | 10.48550/arXiv.2109.14987 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.2109.14987 Verlag, kostenfrei, Volltext: http://arxiv.org/abs/2109.14987 |
| Author Notes: | Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, and Jakub Skrzeczkowski |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1817211153 | ||
| 003 | DE-627 | ||
| 005 | 20240109103032.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220921s2021 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.48550/arXiv.2109.14987 |2 doi | |
| 035 | |a (DE-627)1817211153 | ||
| 035 | |a (DE-599)KXP1817211153 | ||
| 035 | |a (OCoLC)1361714326 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Düll, Christian |d 1994- |e VerfasserIn |0 (DE-588)1180545761 |0 (DE-627)1067773789 |0 (DE-576)520273095 |4 aut | |
| 245 | 1 | 0 | |a Measure differential equation with a nonlinear growth/decay term |c Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, and Jakub Skrzeczkowski |
| 264 | 1 | |c 30 Sep 2021 | |
| 300 | |a 30 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Artikelversion vom 26. Oktober 2021 | ||
| 500 | |a Gesehen am 09.01.2024 | ||
| 520 | |a We obtain an existence result for a Measure Differential Equation with an additional nonlinear growth/decay term that may change the sign. The proof requires a modification of approximating schemes proposed by Piccoli and Rossi. The new scheme combines model discretisation with the exponential solution of the nonlinear growth/decay and hence preserves nonnegativity of the measure. Furthermore, we formulate a simpler analytic condition on the Measure Vector Field which substantially simplifies the previous proof of continuity of solutions with respect to initial data. | ||
| 650 | 4 | |a 35F25, 35R06 | |
| 650 | 4 | |a Mathematics - Analysis of PDEs | |
| 700 | 1 | |a Gwiazda, Piotr |e VerfasserIn |4 aut | |
| 700 | 1 | |a Marciniak-Czochra, Anna |d 1974- |e VerfasserIn |0 (DE-588)1044379626 |0 (DE-627)771928432 |0 (DE-576)397031505 |4 aut | |
| 700 | 1 | |a Skrzeczkowski, Jakub |e VerfasserIn |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2021), Artikel-ID 2109.14987, Seite 1-30 |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Measure differential equation with a nonlinear growth/decay term |
| 773 | 1 | 8 | |g year:2021 |g elocationid:2109.14987 |g pages:1-30 |g extent:30 |a Measure differential equation with a nonlinear growth/decay term |
| 856 | 4 | 0 | |u https://doi.org/10.48550/arXiv.2109.14987 |x Verlag |x Resolving-System |z kostenfrei |3 Volltext |
| 856 | 4 | 0 | |u http://arxiv.org/abs/2109.14987 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220921 | ||
| 993 | |a Article | ||
| 998 | |g 1044379626 |a Marciniak-Czochra, Anna |m 1044379626:Marciniak-Czochra, Anna |d 110000 |d 110200 |d 110000 |d 110400 |d 700000 |d 708000 |d 700000 |d 728500 |e 110000PM1044379626 |e 110200PM1044379626 |e 110000PM1044379626 |e 110400PM1044379626 |e 700000PM1044379626 |e 708000PM1044379626 |e 700000PM1044379626 |e 728500PM1044379626 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |k 0/700000/ |k 1/700000/708000/ |k 0/700000/ |k 1/700000/728500/ |p 3 | ||
| 998 | |g 1180545761 |a Düll, Christian |m 1180545761:Düll, Christian |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PD1180545761 |e 110200PD1180545761 |e 110000PD1180545761 |e 110400PD1180545761 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j | ||
| 999 | |a KXP-PPN1817211153 |e 4190477400 | ||
| BIB | |a Y | ||
| JSO | |a {"relHost":[{"pubHistory":["1991 -"],"recId":"509006531","physDesc":[{"extent":"Online-Ressource"}],"id":{"eki":["509006531"],"zdb":["2225896-6"]},"disp":"Measure differential equation with a nonlinear growth/decay termArxiv","language":["eng"],"note":["Gesehen am 28.05.2024"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"origin":[{"publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedDisp":"1991-"}],"type":{"bibl":"edited-book","media":"Online-Ressource"},"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"part":{"year":"2021","text":"(2021), Artikel-ID 2109.14987, Seite 1-30","pages":"1-30","extent":"30"}}],"id":{"eki":["1817211153"],"doi":["10.48550/arXiv.2109.14987"]},"name":{"displayForm":["Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, and Jakub Skrzeczkowski"]},"physDesc":[{"extent":"30 S."}],"recId":"1817211153","title":[{"title_sort":"Measure differential equation with a nonlinear growth/decay term","title":"Measure differential equation with a nonlinear growth/decay term"}],"note":["Artikelversion vom 26. Oktober 2021","Gesehen am 09.01.2024"],"origin":[{"dateIssuedDisp":"30 Sep 2021","dateIssuedKey":"2021"}],"type":{"media":"Online-Ressource","bibl":"chapter"},"language":["eng"],"person":[{"display":"Düll, Christian","family":"Düll","given":"Christian","role":"aut"},{"display":"Gwiazda, Piotr","family":"Gwiazda","given":"Piotr","role":"aut"},{"family":"Marciniak-Czochra","display":"Marciniak-Czochra, Anna","role":"aut","given":"Anna"},{"role":"aut","given":"Jakub","display":"Skrzeczkowski, Jakub","family":"Skrzeczkowski"}]} | ||
| SRT | |a DUELLCHRISMEASUREDIF3020 | ||