New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
-
Svetlin G. Georgiev
svetlingeorgiev1@gmail.com
-
Khaled Zennir
khaledzennir2@yahoo.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462018000200023Abstract
In this article, we consider a class of nonlinear parabolic equations. We use an integral representation combined with a sort of fixed point theorem to prove the existence of classical solutions for the initial value problem (1.1), (1.2). We also obtain a result on continuous dependence on the initial data. We propose a new approach for investigation for existence of classical solutions of some classes nonlinear parabolic equations.
Keywords
Similar Articles
- Xue Ping Wang, Semi-classical measures and the Helmholtz Equation , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Smaïl Djebali, Ouiza Saifi, Upper and lower solutions for φ−Laplacian third-order BVPs on the half-Line , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Rafael Galeano, Pedro Ortega, John Cantillo, Stationary Boltzmann equation and the nonlinear alternative of Leray-Schauder type , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Cheok Choi, Gen Nakamura, Kenji Shirota, Variational approach for identifying a coefficient of the wave equation , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Saroj Panigrahi, Sandip Rout, Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Hasnae El Hammar, Chakir Allalou, Adil Abbassi, Abderrazak Kassidi, The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Svetlin Georgiev, Mohamed Majdoub, Two nonnegative solutions for two-dimensional nonlinear wave equations , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Vikram Singh, Dwijendra N Pandey, Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2018-07-31
How to Cite
[1]
S. G. Georgiev and K. Zennir, “New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations”, CUBO, vol. 20, no. 2, pp. 23–39, Jul. 2018.
Issue
Section
Articles
