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
- Stanislas Ouaro, Noufou Sawadogo, Nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary condition , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Svetlin Georgiev, Mohamed Majdoub, Two nonnegative solutions for two-dimensional nonlinear wave equations , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- 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)
- Alexander Fabricant, Nikolai Kutev, Tsviatko Rangelov, On the first eigenvalue for linear second order elliptic equations in divergence form , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- N. S. Gopal, J. M. Jonnalagadda, Positive solutions of nabla fractional boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Gastón E. Hernández, Behavior of multiple solutions for systems of semilinear elliptic equations , CUBO, A Mathematical Journal: No. 11 (1995): CUBO, Revista de Matemática
- Lolimar Diaz, Raúl Naulin, Discrete Systems with Advanced Argument , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Almost automorphic solutions for some nonautonomous evolution equations under the light of integrable dichotomy , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
<< < 5 6 7 8 9 10 11 12 13 14 15 16 > >>
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
