Results 31 to 40 of about 209,790 (271)

Parabolic oblique derivative problem in generalized Morrey spaces

, 2013
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut, A Maugeri, D Gilberg, D Sarason, E Nakai, EB Fabes, F Chiarenza, F Chiarenza, F John, LG Softova, LG Softova, LG Softova, LG Softova, Lubomira G. Softova, M Bramanti, M Bramanti, P Acquistapace, PW Jones, R Adams, VS Guliyev   +19 more
core   +1 more source

Using Long‐Chain Polymechanophores to Explore the Differences in Mechanoactivation During Nozzle Flow and Ultrasonication

Advanced Functional Materials, EarlyView.
Flow through a nozzle is a common component of most fluid‐based polymer processing techniques such as spray drying, inkjet printing, extrusion. An ultrahigh molecular weight multi‐mechanophore system is used to probe the differences in the distribution of mechanical activation observed between nozzle flow and ultrasonication; the gold standard ...
Niamh Willis‐Fox, Maggie Horst, Etienne Rognin, Yan Xia, Ronan Daly   +4 more
wiley   +1 more source

Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations

Mathematics
The optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na, Tianjiao Men, Runmei Du, Yingjie Zhu   +3 more
doaj   +1 more source

A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Boundary Value Problems, 2019
In this paper, we present a reduced high-order compact finite difference scheme for numerical solution of the parabolic equations. CFDS4 is applied to attain high accuracy for numerical solution of parabolic equations, but its computational efficiency ...
Baozou Xu, Xiaohua Zhang
doaj   +1 more source

Mixed problems for degenerate abstract parabolic equations and applications [PDF]

, 2017
Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
core   +1 more source

Nonlinear Parabolic Equations arising in Mathematical Finance

, 2017
This survey paper is focused on qualitative and numerical analyses of fully nonlinear partial differential equations of parabolic type arising in financial mathematics.
A. Tourin, B. Bank, B. Düring, C.G. Averbuj, D. Ševčovič, D. Ševčovič, D.P. Bertsekas, G. Barles, J. Ankudinova, J.H. Witte, K. Muthuraman, L.A. Bordag, M. Avellaneda, M. Hamala, M. Jandačka, M. Koleva, M. Kratka, M. Musiela, M.C. Crandall, M.C. Mariani, M.N. Koleva, N. Ishimura, N. Ishimura, P. Amster, P. Schönbucher, Q.S. Song, R. Abe, R. Company, R. Frey, S. Kilianová, S. Kilianová, S. Nayak, S. Zhou, T. Hoggard, T. Zariphopoulou, W. Liao, W.H. Fleming, Y. Huang, Y.K. Kwok, Z. Macová   +39 more
core   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

Carleman estimates for the parabolic transmission problem and H\"older propagation of smallness across an interface

, 2017
In this paper we prove a H\"older propagation of smallness for solutions to second order parabolic equations whose general anisotropic leading coefficient has a jump at an interface.
Francini, Elisa, Vessella, Sergio
core   +1 more source

Kelvin Probe Force Microscopy in Bionanotechnology: Current Advances and Future Perspectives

Advanced Materials, EarlyView.
Kelvin probe force microscopy (KPFM) enables the nanoscale mapping of electrostatic surface potentials. While widely applied in materials science, its use in biological systems remains emerging. This review presents recent advances in KPFM applied to biological samples and provides a critical perspective on current limitations and future directions for
Ehsan Rahimi, Mario Palacios‐Corella, Arjan Mol, Salvador Pané, Josep Puigmartí‐Luis   +4 more
wiley   +1 more source

Green’s Function of the Cauchy Problem for Equations with Dissipative Parabolicity, Negative Genus, and Variable Coefficients

International Journal of Differential Equations
Green’s function of the Cauchy problem is constructed by the method of successive approximations, and its main properties are studied for a new class of linear differential equations with dissipative parabolicity and negative genus, whose coefficients ...
Vladyslav Litovchenko, Denys Kharyna
doaj   +1 more source