Results 1 to 10 of about 756,333 (330)

Symmetries of partial differential equations [PDF]

Journal of the Korean Mathematical Society, 2003
We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n.
Gaussier, Hervé, Merker, Joël
core   +6 more sources

Renormalizing Partial Differential Equations [PDF]

, 1994
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations.
A. Bressan, A. Gmira, A. Soffer, B. Simon, B.J. Lemesurier, D.G. Aronson, D.H. Sattinger, G.I. Barenblatt, H. Brezis, H. Fujita, H.A. Levine, J-P. Eckmann, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Bricmont, J. Glimm, J. Miller, J.L.L. Velazquez, J.P. Eckmann, J.W. Cahn, K. Kirchgässner, L-Y. Chen, L.A. Bunimovich, M. Berger, M. Bramson, M. Cross, M. Escobedo, M. Escobedo, M.A. Herrero, M.A. Herrero, M.A. Herrero, N. Goldenfeld, N. Goldenfeld, N. Goldenfeld, P. Collet, P. Collet, P. Collet, R. Pego, S. Filippas, S. Filippas, S. Kamin, S. Kamin, S. Kamin, T. Gallay, T. Gallay, V.A. Galaktionov, Y. Giga, Y. Giga, Y. Giga   +52 more
core   +4 more sources

Longterm existence of solutions of a reaction diffusion system with non-local terms modeling an immune response—An interpretation-orientated proof

Partial Differential Equations in Applied Mathematics, 2022
This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
doaj   +1 more source

The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent

Journal of Function Spaces, 2023
In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri   +3 more
doaj   +1 more source

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

Проблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari   +3 more
doaj   +1 more source

Modelling health impacts of hepatitis – model selection and treatment plans

Mathematical and Computer Modelling of Dynamical Systems, 2022
Hepatitis B and C are viruses causing liver infections and resulting in grave secondary diseases. While there are different treatments for chronic liver infections, the process of evolving chronic diseases is still not fully understood.
Cordula Reisch
doaj   +1 more source

Controlled K-Fusion Frame for Hilbert Spaces

Moroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia, Kabbaj Samir, Moalige Brahim   +2 more
doaj   +1 more source

Developmental Partial Differential Equations [PDF]

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia, Rossi, Francesco, Boscain, Ugo, Piccoli, Benedetto   +3 more
openaire   +4 more sources

Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball [PDF]

Opuscula Mathematica, 2022
In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the \(p\)-Laplacian \[-\Big(a+b\int_{\Omega_e}|\nabla u|^p dx\Big)\Delta_p u=\lambda f\left(|x|,u\right),\ x\in \Omega_e,\quad u=0\ \text ...
John R. Graef, Doudja Hebboul, Toufik Moussaoui   +2 more
doaj   +1 more source

On the Global Well-Posedness for a Hyperbolic Model Arising from Chemotaxis Model with Fractional Laplacian Operator

Journal of Mathematics, 2023
Several cells and microorganisms, such as bacteria and somatic, have many essential features, one of which can be modeled by the chemotaxis system, which we consider to be our main interest in this article.
Oussama Melkemi, Mohammed S. Abdo, M.A. Aiyashi, M. Daher Albalwi   +3 more
doaj   +1 more source