References
- Anderson JR, Deng K. Global existence for nonlinear diffusion equations. J Math Anal Appl. 1995;196:479–501. doi: 10.1006/jmaa.1995.1421
- Carl S, Grossmann Ch, Pao CV. Existence and monotone iterations for parabolic differential inclusions. Comm Appl Nonlinear Anal. 1996;3:1–24.
- Ferreira LCF, Precioso JC. Existence and asymptotic behaviour for the parabolic-parabolic Keller-Segel system with singular data. Nonlinearity. 2011;24:1433–1449. doi: 10.1088/0951-7715/24/5/003
- Pao CV. Nonlinear parabolic and elliptic equations. New York (NY): Plenum Press; 1992.
- Pao CV, Ruan WH. Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions. J Math Anal Appl. 2007;333:472–499. doi: 10.1016/j.jmaa.2006.10.005
- Pao CV, Ruan WH. Positive solutions of quasilinear parabolic systems with Dirichlet boundary conditions. J Differ Equ. 2010;248:1175–1211. doi: 10.1016/j.jde.2009.12.011
- Pao CV, Ruan WH. Quasilinear parabolic and elliptic systems with mixed quasimonotone functions. J Differ Equ. 2013;255:1515–1553. doi: 10.1016/j.jde.2013.05.015
- Sacks PE. Continuity of solutions of a singular parabolic equation. J Nonlinear Anal. 1983;7:384–407. doi: 10.1016/0362-546X(83)90092-5
- Ambrazevičcius A. Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion. J Math Sci (New York). 2012;184(4):383–398. (translated from Probl Math Anal. 2012;65:13–26). doi: 10.1007/s10958-012-0874-4
- Ambrazevičcius A, Skakauskas V. Solvability of a model for monomer–monomer surface reactions. Nonlinear Anal Real. 2017;35:211–228. doi: 10.1016/j.nonrwa.2016.11.001
- Skakauskas V, Katauskis P. Spillover in monomer-monomer reactions on supported catalysts: dinamic mean-feld study. J Math Chem. 2014;52:1350–1363. doi: 10.1007/s10910-014-0315-3
- Skakauskas V, Katauskis P. Modelling dimer-dimer reactions on supported catalysts. J Math Chem. 2015;53:604–617. doi: 10.1007/s10910-014-0440-z
- Garcia Cantu Ros A, McEwen JS, Gaspard P. Effect of ultrafast diffusion on adsorption, desorption, and reaction processes over heterogeneous surfaces. Phys Rev E. 2011;83:021604-1–021604-14. doi: 10.1103/PhysRevE.83.021604
- Friedman A. Partial differential equations of parabolic type. Englewood Clifs (NJ): Prentice Hall; 1964.
- Ladyzhenskaya OA, Solonnikov VA, Uralcev NN. Linear and quasi-linear equation of parabolic type. Providence (RI): Amer. Math. Soc.; 1968. (Amer. Math. Soc. Transl.).