Skip to content
DraconiticResearch
Search Sources API
184,937 studies31 sourcesUpdated 22 min ago
PreprintCC BY-SA 4.0arXiv

Stability in the determination of the coefficients for coupled relativistic Schrödinger system

  • Nitesh Kumar
  • Parveen Kumar
  • Tanmay Sarkar
Open at sourcePDFDOICite

Abstract

In this article, we prove a stability result for the identification of the coefficients appearing in a coupled relativistic Schrödinger system posed on a bounded domain of ℝ1+n, where n ≥ 3. More precisely, by utilizing input-output operator, where Neumann boundary data are available only on a subset of the boundary, and constructing an appropriate geometric optics solution, we derive a stability estimate of log-log type for the matrix-valued first-order coefficients. This result is subsequently used to obtain a log-log-log type stability estimate for the zeroth-order matrix-valued potential.

Related

  1. Asymptotic Stability of Multi-Solitons for Coupled Nonlinear Schrödinger Equations via the ∂̅-Method
    Yubin Huang, Liming Ling, Huajie Su
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv
  2. Global well-posedness and orbital stability of the Gross--Pitaevskii branch in a coupled defocusing Schrödinger system
    Michał Kowalczyk, Jarosław Mederski, Isidora Miranda
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  3. Lp-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients
    Federica Gregorio, Chiara Spina, Cristian Tacelli
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation
    Mourad Choulli, Hiroshi Takase
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Stable determination of damping and potential coefficients in a semilinear wave equation
    Rahul Bhardwaj, Mandeep Kumar, Manmohan Vashisth
    arXivPreprintCC BY-SA 4.0Full textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{kumar2026stability,
  title = {{Stability in the determination of the coefficients for coupled relativistic Schrödinger system}},
  author = {Nitesh Kumar and Parveen Kumar and Tanmay Sarkar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15013},
  eprint = {2610.15013},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15013},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Stability in the determination of the coefficients for coupled relativistic Schrödinger system
AU  - Nitesh Kumar
AU  - Parveen Kumar
AU  - Tanmay Sarkar
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.15013
UR  - https://arxiv.org/abs/2610.15013
AB  - In this article, we prove a stability result for the identification of the coefficients appearing in a coupled relativistic Schrödinger system posed on a bounded domain of ℝ^1+n, where n ≥ 3. More precisely, by utilizing input-output operator, where Neumann boundary data are available only on a subset of the boundary, and constructing an appropriate geometric optics solution, we derive a stability estimate of log-log type for the matrix-valued first-order coefficients. This result is subsequently used to obtain a log-log-log type stability estimate for the zeroth-order matrix-valued potential.
ER  -