@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,
}