FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY ArticleYamamoto M.Mathematics. Том 10. 2022.
STABILITY ESTIMATE FOR A SEMILINEAR ELLIPTIC INVERSE PROBLEM ArticleChoulli M., Hu G., Yamamoto M.Nonlinear Differential Equations and Applications. Том 28. 2021.
UNIQUENESS FOR AN INVERSE COEFFICIENT PROBLEM FOR A ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION WITH NON-ZERO BOUNDARY CONDITIONS ArticleRundell W., Yamamoto M.Applicable Analysis. 2021.
GLOBAL LIPSCHITZ STABILITY FOR AN INVERSE SOURCE PROBLEM FOR THE NAVIER–STOKES EQUATIONS ArticleImanuvilov O.Y., Yamamoto M.Applicable Analysis. 2021.
CONDITIONAL STABILITY FOR AN INVERSE COEFFICIENT PROBLEM OF A WEAKLY COUPLED TIME-FRACTIONAL DIFFUSION SYSTEM WITH HALF ORDER BY CARLEMAN ESTIMATE ArticleRen C., Huang X., Yamamoto M.Journal of Inverse and Ill-Posed Problems. Том 29. 2021. С. 635-651
INVERSE MOVING SOURCE PROBLEM FOR TIME-FRACTIONAL EVOLUTION EQUATIONS: DETERMINATION OF PROFILES ArticleLiu Y., Hu G., Yamamoto M.Inverse Problems. Том 37. 2021.
INVERSE PARABOLIC PROBLEMS OF DETERMINING FUNCTIONS WITH ONE SPATIAL-COMPONENT INDEPENDENCE BY CARLEMAN ESTIMATE ArticleImanuvilov O.Y., Kian Y., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 2021.
UNIQUENESS IN DETERMINING FRACTIONAL ORDERS OF DERIVATIVES AND INITIAL VALUES ArticleYamamoto M.Inverse Problems. Том 37. 2021.
WELL-POSEDNESS FOR WEAK AND STRONG SOLUTIONS OF NON-HOMOGENEOUS INITIAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFUSION EQUATIONS ArticleKian Y., Yamamoto M.Fractional Calculus and Applied Analysis. Том 24. 2021. С. 168-201
ON TIME FRACTIONAL DERIVATIVES IN FRACTIONAL SOBOLEV SPACES AND APPLICATIONS TO FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS ArticleYamamoto M.SEMA SIMAI Springer Series. Том 26. 2021. С. 287-308
INVERSE PROBLEMS FOR A COMPRESSIBLE FLUID SYSTEM ArticleImanuvilov O.Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Том 310. 2020. С. 101-148
A STABILITY RESULT FOR THE DETERMINATION OF ORDER IN TIME-FRACTIONAL DIFFUSION EQUATIONS ArticleLi Z., Huang X., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 2020.
INITIAL-BOUNDARY VALUE PROBLEMS FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS WITH X-DEPENDENT COEFFICIENTS ArticleLi Z., Huang X., Yamamoto M.Evolution Equations and Control Theory. Том 9. 2020. С. 153-179
BACKWARD PROBLEMS IN TIME FOR FRACTIONAL DIFFUSION-WAVE EQUATION ArticleFloridia G., Yamamoto M.Inverse Problems. Том 36. 2020.
CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM ArticleImanuvilov O.Y., Yamamoto M.SIAM Journal on Mathematical Analysis. Том 52. 2020. С. 718-791
INVERSE MOVING SOURCE PROBLEM FOR FRACTIONAL DIFFUSION(-WAVE) EQUATIONS: DETERMINATION OF ORBITS ArticleHu G., Liu Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Том 310. 2020. С. 81-100
STABILITY FOR INVERSE SOURCE PROBLEMS BY CARLEMAN ESTIMATES ArticleHuang X., Imanuvilov O.Y., Yamamoto M.Inverse Problems. Том 36. 2020.
GLOBAL STABILITY RESULT FOR PARABOLIC CAUCHY PROBLEMS ArticleChoulli M., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 2020.
A PARABOLIC SHAPE OPTIMIZATION PROBLEM ArticleTiba D., Yamamoto M.Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications. Том 12. 2020. С. 312-328
THE UNIQUENESS OF INVERSE PROBLEMS FOR A FRACTIONAL EQUATION WITH A SINGLE MEASUREMENT ArticleKian Y., Li Z., Liu Y., Yamamoto M.Mathematische Annalen. 2020.
WELL-POSEDNESS FOR THE BACKWARD PROBLEMS IN TIME FOR GENERAL TIME-FRACTIONAL DIFFUSION EQUATION ArticleFloridia G., Li Z.Y., Yamamoto M.Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. Том 31. 2020. С. 593-610
UNIQUE CONTINUATION PROPERTY WITH PARTIAL INFORMATION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTICITY SYSTEMS ArticleCheng J., Liu Y.-K., Wang Y.-B., Yamamoto M.Acta Mathematicae Applicatae Sinica. Том 36. 2020. С. 3-17
INVERSE COEFFICIENT PROBLEMS FOR A TRANSPORT EQUATION BY LOCAL CARLEMAN ESTIMATE ArticleCannarsa P., Floridia G., Gölgeleyen F., Yamamoto M.Inverse Problems. Том 35. 2019.
CARLEMAN ESTIMATE FOR THE SCHRÖDINGER EQUATION AND APPLICATION TO MAGNETIC INVERSE PROBLEMS ArticleHuang X., Kian Y., Soccorsi É., Yamamoto M.Journal of Mathematical Analysis and Applications. Том 474. 2019. С. 116-142
UNIQUE CONTINUATION PRINCIPLE FOR THE ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION ArticleLi Z., Yamamoto M.Fractional Calculus and Applied Analysis. Том 22. 2019. С. 644-657
RECONSTRUCTION AND STABLE RECOVERY OF SOURCE TERMS AND COEFFICIENTS APPEARING IN DIFFUSION EQUATIONS ArticleKian Y., Yamamoto M.Inverse Problems. Том 35. 2019.
CARLEMAN ESTIMATES FOR THE TIME-FRACTIONAL ADVECTION-DIFFUSION EQUATIONS AND APPLICATIONS ArticleHuang X., Li Z., Yamamoto M.Inverse Problems. Том 35. 2019.
RECOVERING TWO COEFFICIENTS IN AN ELLIPTIC EQUATION VIA PHASELESS INFORMATION ArticleRomanov V.G., Yamamoto M.INVERSE PROBLEMS AND IMAGING. Том 13. 2019. С. 81-91
STABILITY FOR DETERMINATION OF RIEMANNIAN METRICS BY SPECTRAL DATA AND DIRICHLET-TO-NEUMANN MAP LIMITED ON ARBITRARY SUBBOUNDARY ArticleImanuvilov O.Y., Yamamoto M.INVERSE PROBLEMS AND IMAGING. Том 13. 2019. С. 1213-1258
CARLEMAN ESTIMATE AND AN INVERSE SOURCE PROBLEM FOR THE KELVIN?VOIGT MODEL FOR VISCOELASTICITY ArticleImanuvilov O.Y., Yamamoto M.Inverse Problems. Том 35. 2019.
A CARLEMAN ESTIMATE FOR THE LINEAR MAGNETOELASTIC WAVES SYSTEM AND AN INVERSE SOURCE PROBLEM IN A BOUNDED CONDUCTIVE MEDIUM ArticleBellassoued M., Moufid C., Yamamoto M.Applicable Analysis. 2019.
LOGARITHMIC STABILITY FOR A COEFFICIENT INVERSE PROBLEM OF COUPLED SCHRODINGER EQUATIONS ArticleDou F.F., Yamamoto M.Inverse Problems. Том 35. 2019.
THEORETICAL STABILITY IN COEFFICIENT INVERSE PROBLEMS FOR GENERAL HYPERBOLIC EQUATIONS WITH NUMERICAL RECONSTRUCTION ArticleYu J., Liu Y., Yamamoto M.Inverse Problems. Том 34. 2018.
WEAK SOLUTIONS TO NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR TIME-FRACTIONAL DIFFUSION EQUATIONS ArticleYamamoto M.Journal of Mathematical Analysis and Applications. Том 460. 2018. С. 365-381
SINGLE LOGARITHMIC CONDITIONAL STABILITY IN DETERMINING UNKNOWN BOUNDARIES ArticleElschner J., Hu G., Yamamoto M.Applicable Analysis. 2018.
ON TIME-FRACTIONAL DIFFUSION EQUATIONS WITH SPACE-DEPENDENT VARIABLE ORDER ArticleKian Y., Soccorsi E., Yamamoto M.Annales Henri Poincare. Том 19. 2018. С. 3855-3881
UNIQUENESS FOR AN INVERSE PROBLEM FOR A NONLINEAR PARABOLIC SYSTEM WITH AN INTEGRAL TERM BY ONE-POINT DIRICHLET DATA ArticleHömberg D., Lu S., Yamamoto M.Journal of Differential Equations. 2018.
LIPSCHITZ STABILITY FOR AN INVERSE HYPERBOLIC PROBLEM OF DETERMINING TWO COEFFICIENTS BY A FINITE NUMBER OF OBSERVATIONS ArticleBeilina L., Cristofol M., Li S., Yamamoto M.Inverse Problems. Том 34. 2018.
CARLEMAN ESTIMATES AND APPLICATIONS TO INVERSE PROBLEMS FOR HYPERBOLIC SYSTEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 1-259
CARLEMAN ESTIMATES FOR SOME THERMOELASTICITY SYSTEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 183-210
INVERSE PROBLEMS FOR WAVE EQUATIONS ON A RIEMANNIAN MANIFOLD ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 111-166
WELL-POSEDNESS AND REGULARITY FOR THE WAVE EQUATION WITH VARIABLE COEFFICIENTS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 63-80
CARLEMAN ESTIMATE AND APPLICATION TO AN INVERSE SOURCE PROBLEM FOR A VISCOELASTICITY MODEL IN ANISOTROPIC CASE ArticleLoreti P., Sforza D., Yamamoto M.Inverse Problems. Том 33. 2017.
INVERSE HEAT SOURCE PROBLEM FOR THE THERMOELASTICITY SYSTEM ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 211-223
SUPPLEMENTARY RESEARCH PROBLEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 241-251
BASICS OF CARLEMAN ESTIMATES ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 1-50
BASIC TOOLS OF RIEMANNIAN GEOMETRY ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 51-62
INVERSE PROBLEM FOR A HYPERBOLIC EQUATION WITH A FINITE SET OF BOUNDARY DATA ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 225-239
CARLEMAN ESTIMATE FOR THE WAVE EQUATION ON A RIEMANNIAN MANIFOLD ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 81-110
REALIZATION OF THE CONVEXITY OF THE WEIGHT FUNCTION ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. С. 167-182