5 research outputs found
Note on K0-group and C*p-algebras
No full textDepartment of Mathematics
College of Science and Medical Studies
King Saud University
P. O. Box 22452
Riyadh 11495, Saudi ArabiaThe K0-group for unital C*p –algebra is defined. Then it is proven that the K0 -group of unital commutative C∗p-algebra (A, ||.|| p ) is
isomorphic to the K0-group of the commutative unital C*p –algebra ( (A, ||.|| p)1 p ). The concept of n-special C*p –algebra was introduced by Azmi in [2]. Let A be an n-special C*p –algebra then the characterization of these algebras as in [2] leads to a surjective group homomorphism from K0(A) to Z, which turns into isomorphism when A is a special C*p –algebr
Blow-up of solutions to parabolic inequalities in the Heisenberg group
No full textWe establish a Fujita-type theorem for the blow-up of nonnegative solutions to
a certain class of parabolic inequalities in the Heisenberg group.
Our proof is based on a duality argument
Nonexistence of global solutions for fractional temporal Schrödinger equations and systems
No full textWe, first, consider the nonlinear Schrödinger equation
iαC0 Dαtu + ∆u = λ|u|p + μα(x) ‧ ∇|u|q, t > 0, x ∈ ℝN,
where 0 < α < 1, iα is the principal value of iα, C0 Dαt is the Caputo fractional derivative of order α, λ ∈ ℂ\ {0}, μ ∈ ℂ, p > q > 1, u(t, x) is a complex-valued function, and α : ℝN → ℝN is a given vector function. We provide sufficient conditions for the nonexistence of global weak solution under suitable initial data. Next, we extend our study to the system of nonlinear coupled equations
iαC0 Dαtu + ∆u = λ|v|p> + μα(x) ‧ ∇|v|q, t > 0, x ∈ ℝN,
iβC0 Dβtv + ∆v = λ|u|k + μb(x) ‧ ∇|u|σ, t > 0, x ∈ ℝN,
where 0 < β ≤ α < 1, λ ∈ ℂ\{0}, μ ∈ ℂ, p > q > 1, k > σ > 1, and α, b : ℝN → ℝN are two given vector functions. Our approach is based on the test function method.Mathematic
Nonexistence of global solutions for fractional temporal Schrodinger equations and systems
No full textWe, first, consider the nonlinear Schrodinger equation
where 0<\alpha lt;1, is the principal value of
, is the Caputo fractional derivative of
order , , ,
, is a complex-valued function, and
is a given vector function.
We provide sufficient conditions for the nonexistence of global weak solution
under suitable initial data. Next, we extend our study to the system of nonlinear
coupled equations
\displaylines{
i^\alpha {}_0^C D_t^\alpha u+\Delta u
= \lambda |v|^p+\mu a(x)\cdot\nabla |v|^q,
\quad t>0,\;x\in \mathbb{R}^N,\cr
i^\beta {}_0^C D_t^\beta v+\Delta v
= \lambda |u|^\kappa+\mu b(x)\cdot\nabla |u|^\sigma,
\quad t>0,\; x\in \mathbb{R}^N,
}
where , ,
, , , and
are two given vector functions.
Our approach is based on the test function method
Application of GIS and Remote Sensing in Research
No full textThe author added the ppt in the attachment. Lectures on Application of GIS and Remote Sensing in Research are available on YouTube channel.
For Bangladeshi learners: https://youtube.com/playlist?list=PL1qZn0OvlNyUwuRDcgV5IrkSzfRKlhpa7
Lecture topic
Introduction of GIS and Theoretical Concept
Concept of Geo-processing, Basic Geo-processing tools
Basic concept of Python for ArcGIS and Basic ArcPy Script
Fundamentals of Remote Sensing and Theoretical Concept
Image Processing and How to Create a study area Map
Image Processing and How to Create a study area Map
Iso Cluster Unsupervised Classification
Erosion and Accretion calculation
Model builder
Network Analysis
Hotspot Analysis
Climate data download: free data sources and how to download data by Python code
Understanding gridded data and spatial figures
Spatial data analysis with IDW technique
Spatial data analysis using NetCDF dataE-mail: [email protected]; Website:https://researchsociety20.org/teacher-trainer/ ;
Research gate: https://www.researchgate.net/profile/Md-Miah-8
