FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY ArticleYamamoto M.Mathematics. Vol. 10. 2022.
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. Vol. 24. 2021. P.. 168-201
STABILITY ESTIMATE FOR A SEMILINEAR ELLIPTIC INVERSE PROBLEM ArticleChoulli M., Hu G., Yamamoto M.Nonlinear Differential Equations and Applications. Vol. 28. 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. Vol. 29. 2021. P.. 635-651
INVERSE MOVING SOURCE PROBLEM FOR TIME-FRACTIONAL EVOLUTION EQUATIONS: DETERMINATION OF PROFILES ArticleLiu Y., Hu G., Yamamoto M.Inverse Problems. Vol. 37. 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.
ON TIME FRACTIONAL DERIVATIVES IN FRACTIONAL SOBOLEV SPACES AND APPLICATIONS TO FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS ArticleYamamoto M.SEMA SIMAI Springer Series. Vol. 26. 2021. P.. 287-308
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. Vol. 37. 2021.
GLOBAL LIPSCHITZ STABILITY FOR AN INVERSE SOURCE PROBLEM FOR THE NAVIER–STOKES EQUATIONS ArticleImanuvilov O.Y., Yamamoto M.Applicable Analysis. 2021.
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. Vol. 9. 2020. P.. 153-179
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.
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. Vol. 36. 2020. P.. 3-17
INVERSE PROBLEMS FOR A COMPRESSIBLE FLUID SYSTEM ArticleImanuvilov O.Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Vol. 310. 2020. P.. 101-148
INVERSE MOVING SOURCE PROBLEM FOR FRACTIONAL DIFFUSION(-WAVE) EQUATIONS: DETERMINATION OF ORBITS ArticleHu G., Liu Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Vol. 310. 2020. P.. 81-100
THE UNIQUENESS OF INVERSE PROBLEMS FOR A FRACTIONAL EQUATION WITH A SINGLE MEASUREMENT ArticleKian Y., Li Z., Liu Y., Yamamoto M.Mathematische Annalen. 2020.
CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM ArticleImanuvilov O.Y., Yamamoto M.SIAM Journal on Mathematical Analysis. Vol. 52. 2020. P.. 718-791
BACKWARD PROBLEMS IN TIME FOR FRACTIONAL DIFFUSION-WAVE EQUATION ArticleFloridia G., Yamamoto M.Inverse Problems. Vol. 36. 2020.
STABILITY FOR INVERSE SOURCE PROBLEMS BY CARLEMAN ESTIMATES ArticleHuang X., Imanuvilov O.Y., Yamamoto M.Inverse Problems. Vol. 36. 2020.
GLOBAL STABILITY RESULT FOR PARABOLIC CAUCHY PROBLEMS ArticleChoulli M., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 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. Vol. 31. 2020. P.. 593-610
A PARABOLIC SHAPE OPTIMIZATION PROBLEM ArticleTiba D., Yamamoto M.Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications. Vol. 12. 2020. P.. 312-328
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.
RECOVERING TWO COEFFICIENTS IN AN ELLIPTIC EQUATION VIA PHASELESS INFORMATION ArticleRomanov V.G., Yamamoto M.INVERSE PROBLEMS AND IMAGING. Vol. 13. 2019. P.. 81-91
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. Vol. 474. 2019. P.. 116-142
CARLEMAN ESTIMATES FOR THE TIME-FRACTIONAL ADVECTION-DIFFUSION EQUATIONS AND APPLICATIONS ArticleHuang X., Li Z., Yamamoto M.Inverse Problems. Vol. 35. 2019.
LOGARITHMIC STABILITY FOR A COEFFICIENT INVERSE PROBLEM OF COUPLED SCHRODINGER EQUATIONS ArticleDou F.F., Yamamoto M.Inverse Problems. Vol. 35. 2019.
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. Vol. 13. 2019. P.. 1213-1258
INVERSE COEFFICIENT PROBLEMS FOR A TRANSPORT EQUATION BY LOCAL CARLEMAN ESTIMATE ArticleCannarsa P., Floridia G., Gölgeleyen F., Yamamoto M.Inverse Problems. Vol. 35. 2019.
UNIQUE CONTINUATION PRINCIPLE FOR THE ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION ArticleLi Z., Yamamoto M.Fractional Calculus and Applied Analysis. Vol. 22. 2019. P.. 644-657
CARLEMAN ESTIMATE AND AN INVERSE SOURCE PROBLEM FOR THE KELVIN?VOIGT MODEL FOR VISCOELASTICITY ArticleImanuvilov O.Y., Yamamoto M.Inverse Problems. Vol. 35. 2019.
RECONSTRUCTION AND STABLE RECOVERY OF SOURCE TERMS AND COEFFICIENTS APPEARING IN DIFFUSION EQUATIONS ArticleKian Y., Yamamoto M.Inverse Problems. Vol. 35. 2019.
WEAK SOLUTIONS TO NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR TIME-FRACTIONAL DIFFUSION EQUATIONS ArticleYamamoto M.Journal of Mathematical Analysis and Applications. Vol. 460. 2018. P.. 365-381
THEORETICAL STABILITY IN COEFFICIENT INVERSE PROBLEMS FOR GENERAL HYPERBOLIC EQUATIONS WITH NUMERICAL RECONSTRUCTION ArticleYu J., Liu Y., Yamamoto M.Inverse Problems. Vol. 34. 2018.
SINGLE LOGARITHMIC CONDITIONAL STABILITY IN DETERMINING UNKNOWN BOUNDARIES ArticleElschner J., Hu G., Yamamoto M.Applicable Analysis. 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. Vol. 34. 2018.
ON TIME-FRACTIONAL DIFFUSION EQUATIONS WITH SPACE-DEPENDENT VARIABLE ORDER ArticleKian Y., Soccorsi E., Yamamoto M.Annales Henri Poincare. Vol. 19. 2018. P.. 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.
CARLEMAN ESTIMATE AND APPLICATION TO AN INVERSE SOURCE PROBLEM FOR A VISCOELASTICITY MODEL IN ANISOTROPIC CASE ArticleLoreti P., Sforza D., Yamamoto M.Inverse Problems. Vol. 33. 2017.
CARLEMAN ESTIMATES AND APPLICATIONS TO INVERSE PROBLEMS FOR HYPERBOLIC SYSTEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 1-259
SUPPLEMENTARY RESEARCH PROBLEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 241-251
INVERSE PROBLEMS FOR WAVE EQUATIONS ON A RIEMANNIAN MANIFOLD ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 111-166
CARLEMAN ESTIMATE FOR THE WAVE EQUATION ON A RIEMANNIAN MANIFOLD ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 81-110
BASICS OF CARLEMAN ESTIMATES ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 1-50
INVERSE PROBLEM FOR A HYPERBOLIC EQUATION WITH A FINITE SET OF BOUNDARY DATA ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 225-239
BASIC TOOLS OF RIEMANNIAN GEOMETRY ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 51-62
REALIZATION OF THE CONVEXITY OF THE WEIGHT FUNCTION ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 167-182
CARLEMAN ESTIMATES FOR SOME THERMOELASTICITY SYSTEMS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 183-210
WELL-POSEDNESS AND REGULARITY FOR THE WAVE EQUATION WITH VARIABLE COEFFICIENTS ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 63-80
INVERSE HEAT SOURCE PROBLEM FOR THE THERMOELASTICITY SYSTEM ArticleBellassoued M., Yamamoto M.Springer Monographs in Mathematics. 2017. P.. 211-223