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1

Gradient method in Hilbert–Besov spaces for the optimal control of parabolic free boundary problems

Abdulla, Ugur G., Bukshtynov, Vladislav, Hagverdiyev, Ali

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 1.96 MB

english, 2019

2

On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 154 KB

english, 2001

3

Necessary and sufficient condition for uniqueness of solution to the first boundary value problem for the diffusion equation in unbounded domains

Ugur G. Abdulla

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 106 KB

english, 2006

4

Well-Posedness of the Dirichlet Problem for the Non-Linear Diffusion Equation in Non-Smooth Domains

Ugur G. Abdulla

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 1.32 MB

english, 2005

5

Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation

Abdulla, Ugur G

Journal:

Boundary Value Problems

Year:

2005

Language:

english

File:

PDF, 656 KB

english, 2005

6

10.1090/s0002-9947-04-03464-6

Abdulla, Ugur G.

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 287 KB

english, 2005

7

Removability of the logarithmic singularity for the elliptic PDEs with measurable coefficients and its consequences

Abdulla, Ugur G.

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2018

Language:

english

File:

PDF, 562 KB

english, 2018

8

Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations

Abdulla, Ugur G., Cosgrove, Evan

Journal:

Applied Mathematics & Optimization

Year:

2020

Language:

english

File:

PDF, 451 KB

english, 2020

9

Reaction–Diffusion in Irregular Domains

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 258 KB

english, 2000

10

Reaction–Diffusion in a Closed Domain Formed by Irregular Curves

Ugur G. Abdulla

Journal:

Journal of Mathematical Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 115 KB

english, 2000

11

Kolmogorov problem for the heat equation and its probabilistic counterpart

Ugur G. Abdulla

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 149 KB

english, 2005

12

Wiener’s criterion for the unique solvability of the Dirichlet problem in arbitrary open sets with non-compact boundaries

Ugur G. Abdulla

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 238 KB

english, 2007

13

Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption

Ugur G. Abdulla

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 151 KB

english, 2002

14

Interface Development and Local Solutions to Reaction-Diffusion Equations

Abdulla, Ugur G., King, John R.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2000

Language:

english

File:

PDF, 245 KB

english, 2000

15

First Boundary Value Problem for the Diffusion Equation I. Iterated Logarithm Test for the Boundary Regularity and Solvability

Abdulla, Ugur G.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2003

Language:

english

File:

PDF, 174 KB

english, 2003

16

On the optimal control of the free boundary problems for the second order parabolic equations. I. Well-posedness and convergence of the method of lines

Abdulla, Ugur G.

Journal:

Inverse Problems and Imaging

Year:

2013

Language:

english

File:

PDF, 522 KB

english, 2013

17

Trans-border outshopping: an Arabian Gulf study

Yavas, Ugur, Abdul-Gader, Abdulla

Journal:

The International Review of Retail Distribution and Consumer Research

Year:

1991

Language:

english

File:

PDF, 796 KB

english, 1991

18

On the minimal 2(2 k +1)-orbits of the continuous endomorphisms on the real line with application in Chaos theory

Abdulla, Almas U., Abdulla, Rashad U., Abdulla, Ugur G.

Journal:

Journal of Difference Equations and Applications

Year:

2013

Language:

english

File:

PDF, 641 KB

english, 2013

19

Reaction-Diffusion in Nonsmooth and Closed Domains

Abdulla, Ugur G.

Journal:

Boundary Value Problems

Year:

2006

Language:

english

File:

PDF, 264 KB

english, 2006

20

[ASME ASME 2009 International Mechanical Engineering Congress and Exposition - Lake Buena Vista, Florida, USA (November 13–19, 2009)] Volume 2: Biomedical and Biotechnology Engineering - Mathematical Models for Analyzing Tissue Ablation Using Short Pulse Lasers

Onyejekwe, Ogugua, Sajjadi, Amir Yousef, Abdulla, Ugur, Mitra, Kunal, Grace, Michael

Year:

2009

Language:

english

File:

PDF, 466 KB

english, 2009

21

Impact of TV Commercials on Saudi Children′s Purchase Behaviour

Yavas, Ugur, Abdul‐Gader, Abdulla

Journal:

Marketing Intelligence & Planning

Year:

1993

Language:

english

File:

PDF, 408 KB

english, 1993

22

Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations

ABDULLA, UGUR G., JELI, ROQIA

Journal:

European Journal of Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 280 KB

english, 2016

23

Impacts of 2°C global warming on primary production and soil carbon storage capacity at pan-European level

Sakalli, Abdulla, Cescatti, Alessandro, Dosio, Alessandro, Gücel, Mehmet Ugur

Journal:

Climate Services

Year:

2017

Language:

english

File:

PDF, 5.75 MB

english, 2017

24

Frechet differentiability in Besov spaces in the optimal control of parabolic free boundary problems

Abdulla, Ugur G., Goldfarb, Jonathan M.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2017

Language:

english

File:

PDF, 879 KB

english, 2017

25

Optimal Control of the Multiphase Stefan Problem

Abdulla, Ugur G., Poggi, Bruno

Journal:

Applied Mathematics & Optimization

Year:

2018

Language:

english

File:

PDF, 588 KB

english, 2018

26

Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption

Abdulla, Ugur G., Du, Jian, Prinkey, Adam, Ondracek, Chloe, Parimoo, Suneil

Journal:

Mathematics and Computers in Simulation

Year:

2018

Language:

english

File:

PDF, 862 KB

english, 2018

27

Identification of Parameters in Systems Biology

Abdulla, Ugur G., Poteau, Roby

Journal:

Mathematical Biosciences

Year:

2018

Language:

english

File:

PDF, 591 KB

english, 2018

28

Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption

ABDULLA, UGUR G., JELI, ROQIA

Journal:

European Journal of Applied Mathematics

Year:

2019

File:

PDF, 337 KB

2019

29

Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption

ABDULLA, UGUR G., JELI, ROQIA

Journal:

European Journal of Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 337 KB

english, 2019

30

Interface development for the nonlinear degenerate multidimensional reaction–diffusion equations

Abdulla, Ugur G., Abuweden, Amna

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2020

File:

PDF, 526 KB

2020

31

Optimal control of coefficients in parabolic free boundary problems modeling laser ablation

Abdulla, Ugur G., Goldfarb, Jonathan, Hagverdiyev, Ali

Journal:

Journal of Computational and Applied Mathematics

Year:

2020

File:

PDF, 950 KB

2020

32

Development of the Interfaces for the Nonlinear Reaction-Diffusion equation with Convection

Abdulla, Ugur G., Aal-Rkhais, Habeeb A.

Journal:

IOP Conference Series Materials Science and Engineering

Year:

2019

File:

PDF, 346 KB

2019

33

Identification of Parameters for Large-scale Kinetic Models

Abdulla, Ugur G., Poteau, Roby

Journal:

Journal of Computational Physics

Year:

2020

File:

PDF, 1.43 MB

2020

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