Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms

Rabah Mecheter; Fares Mokhtari

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 4, page 561-581
  • ISSN: 0862-7959

Abstract

top
In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in L 1 .

How to cite

top

Mecheter, Rabah, and Mokhtari, Fares. "Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms." Mathematica Bohemica 148.4 (2023): 561-581. <http://eudml.org/doc/299501>.

@article{Mecheter2023,
abstract = {In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.},
author = {Mecheter, Rabah, Mokhtari, Fares},
journal = {Mathematica Bohemica},
keywords = {singular equation; nonlinear parabolic equation; degenerate coercivity},
language = {eng},
number = {4},
pages = {561-581},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms},
url = {http://eudml.org/doc/299501},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Mecheter, Rabah
AU - Mokhtari, Fares
TI - Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 4
SP - 561
EP - 581
AB - In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.
LA - eng
KW - singular equation; nonlinear parabolic equation; degenerate coercivity
UR - http://eudml.org/doc/299501
ER -

References

top
  1. Andreu, F., Léon, S. Segura de, Boccardo, L., Orsina, L., 10.1142/S0218202502001520, Math. Models Methods Appl. Sci. 12 (2002), 1-16. (2002) Zbl1032.35099MR1880893DOI10.1142/S0218202502001520
  2. Arcoya, D., Carmona, J., Leonori, T., Martínez-Aparicio, P. J., Orsina, L., Petitta, F., 10.1016/j.jde.2009.01.016, J. Differ. Equations 246 (2009), 4006-4042. (2009) Zbl1173.35051MR2514734DOI10.1016/j.jde.2009.01.016
  3. Boccardo, L., Orsina, L., Porzio, M. M., 10.1515/acv.2011.006, Adv. Calc. Var. 4 (2011), 397-419. (2011) Zbl1232.35068MR2844511DOI10.1515/acv.2011.006
  4. Dall'Aglio, A., Orsina, L., Petitta, F., 10.1016/j.na.2015.06.030, Nonlinear Anal., Theory Methods Appl. 131 (2016), 273-288. (2016) Zbl1332.35188MR3427981DOI10.1016/j.na.2015.06.030
  5. Ouardy, M. El, Hadfi, Y. El, Ifzarne, A., 10.3934/dcdss.2021012, Discrete Contin. Dyn. Syst., Ser. S 15 (2022), 117-141. (2022) Zbl07539661MR4361686DOI10.3934/dcdss.2021012
  6. Leoni, F., Pellacci, B., 10.1007/s00028-005-0234-7, J. Evol. Equ. 6 (2006), 113-144. (2006) Zbl1109.35052MR2215635DOI10.1007/s00028-005-0234-7
  7. Lions, J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris (1969), French. (1969) Zbl0189.40603MR0259693
  8. Martínez-Aparicio, P. J., Petitta, F., 10.1016/j.na.2010.08.023, Nonlinear Anal., Theory Methods Appl. 74 (2011), 114-131. (2011) Zbl1203.35155MR2734981DOI10.1016/j.na.2010.08.023
  9. Rakotoson, J. M., 10.1016/0022-1236(92)90053-L, J. Funct. Anal. 106 (1992), 358-374. (1992) Zbl0801.35063MR1165860DOI10.1016/0022-1236(92)90053-L
  10. Simon, J., 10.1007/BF01762360, Ann. Mat. Pura Appl. (4) 146 (1987), 65-96. (1987) Zbl0629.46031MR0916688DOI10.1007/BF01762360
  11. Souilah, R., 10.1007/s00009-019-1360-8, Mediterr. J. Math. 16 (2019), Article ID 87, 21 pages. (2019) Zbl1418.35177MR3969260DOI10.1007/s00009-019-1360-8
  12. Xia, L., Liu, Q., Yao, Z., 10.1016/j.jmaa.2011.09.011, J. Math. Anal. Appl. 387 (2012), 439-446. (2012) Zbl1231.35105MR2845763DOI10.1016/j.jmaa.2011.09.011
  13. Xia, L., Yao, Z., 10.1016/j.jmaa.2009.04.039, J. Math. Anal. Appl. 358 (2009), 182-188. (2009) Zbl1172.35421MR2527591DOI10.1016/j.jmaa.2009.04.039
  14. Zhang, C., Zhou, S., 10.1016/j.jde.2009.11.024, J. Differ. Equations 248 (2010), 1376-1400. (2010) Zbl1195.35097MR2593046DOI10.1016/j.jde.2009.11.024
  15. Zhou, W., Wei, X., 10.1002/mma.2778, Math. Methods Appl. Sci. 36 (2013), 2576-2587. (2013) Zbl1280.35071MR3144123DOI10.1002/mma.2778

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.