ARTICLE
TITLE

Increasing Stability of The Inverse Source Problem for One Dimensional Domain

SUMMARY

In this paper, we are investigating the one-dimensional inverse source problem for the Helmholtz equation where the source function is compactly supported in our domain. We show that increasing stability possible using multi-frequency wave at the two endpoints. Our main result is to obtain a stability estimate consists of two parts: the data discrepancy and the high-frequency tail.

 Articles related

Resmawan Resmawan,Agusyarif Rezka Nuha,Lailany Yahya    

ABSTRAKMakalah ini membahas dinamika transmisi COVID-19 dengan melibatkan intervensi karantina. Model dikonstruksi dengan melibatkan tiga kelas penyebab infeksi, yaitu kelas manusia terpapar, kelas manusia terinfeksi tanpa gejala klinis, dan kelas manusi... see more


Ali A. Taha,Nahida J. Hameed,Farah Hamed Ali    

Polycyclic aromatic hydrocarbons (PAHs) are recognized as a toxic, mutagenic and/or carcinogenic compounds, and their pollution of soil and aquifer is of increasing environmentally risk. Laccases (E.C. 1.10.3.2) are phenoloxidases catalyze the oxidation ... see more


Víctor H. Cortes, Patricio González    

We prove the asymptolic stability of the null solution of the impulsive system x' = Ax+ f(t, x) under the influence of externa linear impulses defined by constant matrices {Dj }j. These matrices act at a given fixed and increasing unbonnded sequence of p... see more

Revista: Proyecciones

Elham Sohrabi, Shahah Almutairi    

In this article, we consider the one-dimensional inverse source problem for Helmholtz equation with attenuation (damping) factor in a one layer medium. We establish a stability by using multiple frequencies at the two end points of the domain which conta... see more

Revista: MathLAB Journal

Chungkham Jinita Devi,Avinash S Deshpande,Sachin S    

High rise buildings that are made of RCC frames are affected by lateral loads such as wind and earthquake. The Indian-subcontinent is affected mostly by severe to medium intensities earthquake every decade, hence all the buildings located in earthquake-p... see more