@book{CTT100527594, author = {村田實・倉田和浩}, title = {楕円型・放物型偏微分方程式}, publisher = {岩波書店}, year = 2006, } @book{CTT100537065, author = {村田實 倉田和弘}, title = {偏微分方程式1(岩波講座 現代数学の基礎)}, publisher = {岩波書店}, year = 1997, } @article{CTT100615107, author = {Minoru Murata and Tetsuo Tsuchida}, title = {Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients}, journal = {Potential Analysis}, year = 2010, } @article{CTT100591343, author = {Pedro J. Mendez-Hernandez, Minoru Murata}, title = {Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations}, journal = {Journal of Functional Analysis}, year = 2009, } @article{CTT100551478, author = {Minoru Murata}, title = {Integral represntations of nonnegative solutions for parabolic equations and elliptic Martin boundaries}, journal = {J. Func. Anal.}, year = 2007, } @article{CTT100527608, author = {Minoru Murata}, title = {Representations of nonnegative solutions for parabolic equations}, journal = {Advanced Studies in Pure Mathematics}, year = 2006, } @article{CTT100551550, author = {Minoru Murata and Tetsuo Tsuchida}, title = {Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients}, journal = {J. Math. Kyoto Univ.}, year = 2006, } @article{CTT100399560, author = {Minoru Murata}, title = {Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form}, journal = {J. Math. Soc. Japan}, year = 2005, } @article{CTT100501330, author = {M. Murata and T. Tsuchida}, title = {Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients}, journal = {J. Diff. Eq.}, year = 2003, } @article{CTT100483895, author = {Minoru Murata}, title = {Heat escape}, journal = {Math. Ann.}, year = 2003, } @article{CTT100467732, author = {Minoru Murata}, title = {Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations}, journal = {J. Functional Analysis}, year = 2002, } @article{CTT100438638, author = {K. Ishige and M. Murata}, title = {Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains}, journal = {Ann. Scuola Norm. Sup. Pisa}, year = 2001, } @article{CTT100421076, author = {K. Ishige and M. Murata}, title = {An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations}, journal = {Math. Z}, year = 1998, } @article{CTT100421075, author = {Minoru Murata}, title = {Semismall perturbations in the Martin theory for elliptic equations}, journal = {Israel J. Math}, year = 1997, } @article{CTT100421073, author = {Minoru Murata}, title = {Non-uniqueness of the positive Dirichlet problem for parabolic equations in cylinders}, journal = {J. Funct. Anal.}, year = 1996, } @article{CTT100421074, author = {H. Aikawa and M. Murata}, title = {Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains}, journal = {J. Anal. Math.}, year = 1996, } @article{CTT100421070, author = {Minoru Murata}, title = {Uniqueness and non-uniqueness of the positive Cauchy problem for the heat equation on Riemannian manifolds}, journal = {Proc. Amer. Math. Soc}, year = 1995, } @article{CTT100421072, author = {Minoru Murata}, title = {Non-uniqueness of the positive Cauchy problem for parabolic equations}, journal = {J. Differential Eq.}, year = 1995, } @article{CTT100421069, author = {Minoru Murata}, title = {Sufficient condition for non-uniqueness of the positive Cauchy problem for parabolic equations}, journal = {Spectral and Scattering Theory, Advanced Studies in Pure Math}, year = 1994, } @article{CTT100421068, author = {Minoru Murata}, title = {Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations}, journal = {Functional Analysis and Related Topics, 1991, Lecture Notes in Math}, year = 1993, } @article{CTT100399574, author = {Minoru Murata}, title = {Positive harmonic functions on rotationarysymmetric Riemannian manifolds}, journal = {Potential Theory, Walte de Gruyter & Co.}, year = 1992, } @article{CTT100421066, author = {Minoru Murata}, title = {On construction of Martin boundaries for second order elliptic equations}, journal = {Publ. RIMS, Kyoto Univ}, year = 1990, } @article{CTT100421067, author = {Minoru Murata}, title = {Martin compactification and asymptotics of Green functions for Schroedinger operators with anisotropic potentials}, journal = {Math. Ann.}, year = 1990, } @article{CTT100421065, author = {Minoru Murata}, title = {Structure of positive solutions to(-△+V)u=0 in Rn}, journal = {Differential Equations and Mathematical Physics, Lecture Notes in Math.}, year = 1988, } @article{CTT100421064, author = {Minoru Murata}, title = {Isolated singularities and positive solutions of elliptic equations in Rn}, journal = {Proc. Japan Acad.}, year = 1987, } @article{CTT100421063, author = {Minoru Murata}, title = {Structure of positive solutions to(-△+V)u=0 in Rn}, journal = {Duke Math. J.}, year = 1986, } @article{CTT100421062, author = {Minoru Murata}, title = {Finiteness of negative spectra of elliptic operators}, journal = {Canad. Math. Bull.}, year = 1985, } @article{CTT100421061, author = {Minoru Murata}, title = {Large time asymptotics for fundamental solutions of diffusion equations}, journal = {Tohoku Math. J}, year = 1985, } @article{CTT100421060, author = {Minoru Murata}, title = {Isomorphism theorems for elliptic operators in R^n}, journal = {Comm. in Partial Differential Equations}, year = 1984, } @article{CTT100421059, author = {Minoru Murata}, title = {Positive solutions and large time behaviors of Schroedinger semigroups, Simon's problem}, journal = {J. Functional Analysis}, year = 1984, } @article{CTT100421058, author = {Minoru Murata}, title = {High energy resolvent estimates, II, higher order elliptic operators}, journal = {J. Math. Soc. Japan}, year = 1984, } @article{CTT100421057, author = {Minoru Murata}, title = {High energy resolvent estimates, I, first order operators}, journal = {J. Math. Soc. Japan}, year = 1983, } @article{CTT100421056, author = {Minoru Murata}, title = {Asymptotic expansions in time for solutions of Schroedinger type equations}, journal = {J. Functional Analysis}, year = 1982, } @article{CTT100421055, author = {Minoru Murata}, title = {Characterizations of the ranges of wave operators for symmetric systems and an application}, journal = {Tokyo J. Math}, year = 1981, } @article{CTT100421054, author = {村田實}, title = {偏微分方程式の解の無限遠における増大度の下限}, journal = {数学(日本数学会編集)}, year = 1980, } @article{CTT100421053, author = {Minoru Murata}, title = {Rate of decay of local energy and spectral properties of elliptic operators}, journal = {Japanese J. Math}, year = 1980, } @article{CTT100421052, author = {Minoru Murata}, title = {Rate of decay of local energy and wave operators for symmetric systems}, journal = {J. Math. Soc. Japan}, year = 1979, } @article{CTT100421049, author = {Minoru Murata}, title = {Finiteness of eigenvalues of self-adjoint elliptic operators}, journal = {J. Fac. Sci. Univ. Tokyo, Sec IA}, year = 1978, } @article{CTT100421051, author = {Minoru Murata}, title = {Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone}, journal = {Israel J. Math}, year = 1978, } @article{CTT100421050, author = {Minoru Murata}, title = {Scattering solutions decay at least logarithmically}, journal = {Proc. Japan Acad}, year = 1978, } @article{CTT100421048, author = {Minoru Murata}, title = {Asymptotic behaviors at infinity of solutions of certain linear partial differential equations}, journal = {J. Fac. Sci. Univ. Tokyo, Sec. IA}, year = 1976, } @article{CTT100421047, author = {Minoru Murata}, title = {A theorem of Liouville type for partial differential equations with constant coefficients}, journal = {J. Fac. Sci. Univ. Tokyo, Sec. IA}, year = 1974, } @article{CTT100421046, author = {Minoru Murata}, title = {Anti-locality of certain functions of the Laplace operator}, journal = {J. Math. Soc. Japan}, year = 1973, } @misc{CTT100421077, author = {Minoru Murata}, title = {Structure of positive solutions to Schroedinger equations}, year = 1998, } @misc{CTT100421071, author = {村田實}, title = {Schroedinger方程式の正値解の構造}, year = 1995, } @misc{CTT100595507, author = {Minoru Murata}, title = {楕円型作用素のスペクトルの性質と局所エネルギーの減衰度}, year = 1979, } @phdthesis{CTT100595507, author = {Minoru Murata}, title = {楕円型作用素のスペクトルの性質と局所エネルギーの減衰度}, school = {東京大学理学研究科}, year = 1979, }