論文

• Minoru Murata, Tetsuo Tsuchida. Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients, Potential Analysis, Springer, Volume 33, Number 4, pp. 387--414, Oct. 2010.
• Pedro J. Mendez-Hernandez, Minoru Murata. Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations, Journal of Functional Analysis, Elsevier Inc., Vol. 257, pp. 1799–1827, July 2009.
• Minoru Murata. Integral represntations of nonnegative solutions for parabolic equations and elliptic Martin boundaries, J. Func. Anal., Elsevier, Vol. 245, pp. 177-212, 2007.
• Minoru Murata. Representations of nonnegative solutions for parabolic equations, Advanced Studies in Pure Mathematics, Vol. 44, pp. 283-289, 2006.
• Minoru Murata, Tetsuo Tsuchida. Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients, J. Math. Kyoto Univ., Kyoto Univ., Vol. 46, pp. 713-754, 2006.
• Minoru Murata. Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form, J. Math. Soc. Japan, Vol. 57, No. 2, pp. 387-413, Apr. 2005.
• M. Murata, T. Tsuchida. Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients, J. Diff. Eq., Vol. 195, pp. 82-118, 2003.
• Minoru Murata. Heat escape, Math. Ann., Vol. 327, pp. 203-226, 2003.
• Minoru Murata. Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations, J. Functional Analysis, Vol. 194, No. 1, pp. 53-141, 2002.
• K. Ishige, M. Murata. Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains, Ann. Scuola Norm. Sup. Pisa, Vol. 30, No. 1, pp. 171-223, 2001.
• K. Ishige, M. Murata. An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations, Math. Z, Vol. 227, pp. 313-335, 1998.
• Minoru Murata. Semismall perturbations in the Martin theory for elliptic equations, Israel J. Math, Vol. 102, pp. 29-60, 1997.
• Minoru Murata. Non-uniqueness of the positive Dirichlet problem for parabolic equations in cylinders, J. Funct. Anal., Vol. 135, No. 2, pp. 456-487, 1996.
• H. Aikawa, M. Murata. Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains, J. Anal. Math., Vol. 69, pp. 137-152, 1996.
• Minoru Murata. Uniqueness and non-uniqueness of the positive Cauchy problem for the heat equation on Riemannian manifolds, Proc. Amer. Math. Soc, Vol. 123, pp. 1923-1932, 1995.
• Minoru Murata. Non-uniqueness of the positive Cauchy problem for parabolic equations, J. Differential Eq., Vol. 123, No. 2, pp. 343-387, 1995.
• Minoru Murata. Sufficient condition for non-uniqueness of the positive Cauchy problem for parabolic equations, Spectral and Scattering Theory, Advanced Studies in Pure Math, Vol. 23, No. 1, pp. 275-282, 1994.
• Minoru Murata. Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations, Functional Analysis and Related Topics, 1991, Lecture Notes in Math, Vol. 1540, No. 1, pp. 277-288, 1993.
• Minoru Murata. Positive harmonic functions on rotationarysymmetric Riemannian manifolds, Potential Theory, Walte de Gruyter & Co., pp. 251-259, 1992.
• Minoru Murata. On construction of Martin boundaries for second order elliptic equations, Publ. RIMS, Kyoto Univ, Vol. 26, pp. 585-627, 1990.
• Minoru Murata. Martin compactification and asymptotics of Green functions for Schroedinger operators with anisotropic potentials, Math. Ann., Vol. 288, pp. 211-230, 1990.
• Minoru Murata. Structure of positive solutions to(-△+V)u=0 in Rⁿ, Differential Equations and Mathematical Physics, Lecture Notes in Math., Vol. 1285, No. 1, pp. 342-347, 1988.
• Minoru Murata. Isolated singularities and positive solutions of elliptic equations in Rⁿ, Proc. Japan Acad., Vol. 63, No. Ser.A, pp. 146-148, 1987.
• Minoru Murata. Structure of positive solutions to(-△+V)u=0 in Rⁿ, Duke Math. J., Vol. 53, No. 4, pp. 869-943, 1986.
• Minoru Murata. Finiteness of negative spectra of elliptic operators, Canad. Math. Bull., Vol. 28, pp. 487-491, 1985.
• Minoru Murata. Large time asymptotics for fundamental solutions of diffusion equations, Tohoku Math. J, Vol. 37, No. 2, pp. 151-195, 1985.
• Minoru Murata. Isomorphism theorems for elliptic operators in R^n, Comm. in Partial Differential Equations, Vol. 9, pp. 1085-1105, 1984.
• Minoru Murata. Positive solutions and large time behaviors of Schroedinger semigroups, Simon's problem, J. Functional Analysis, Vol. 56, pp. 300-310, 1984.
• Minoru Murata. High energy resolvent estimates, II, higher order elliptic operators, J. Math. Soc. Japan, Vol. 36, pp. 1-10, 1984.
• Minoru Murata. High energy resolvent estimates, I, first order operators, J. Math. Soc. Japan, Vol. 35, pp. 711-733, 1983.
• Minoru Murata. Asymptotic expansions in time for solutions of Schroedinger type equations, J. Functional Analysis, Vol. 49, No. 1, pp. 10-56, 1982.
• Minoru Murata. Characterizations of the ranges of wave operators for symmetric systems and an application, Tokyo J. Math, Vol. 4, pp. 113-132, 1981.
• 村田實. 偏微分方程式の解の無限遠における増大度の下限, 数学(日本数学会編集), Vol. 32, pp. 1-16, 1980.
• Minoru Murata. Rate of decay of local energy and spectral properties of elliptic operators, Japanese J. Math, Vol. 6, pp. 77-127, 1980.
• Minoru Murata. Rate of decay of local energy and wave operators for symmetric systems, J. Math. Soc. Japan, Vol. 31, pp. 451-480, 1979.
• Minoru Murata. Finiteness of eigenvalues of self-adjoint elliptic operators, J. Fac. Sci. Univ. Tokyo, Sec IA, Vol. 25, pp. 205-218, 1978.
• Minoru Murata. Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone, Israel J. Math, Vol. 31, pp. 193-203, 1978.
• Minoru Murata. Scattering solutions decay at least logarithmically, Proc. Japan Acad, Vol. 54, No. Ser.A, pp. 42-45, 1978.
• Minoru Murata. Asymptotic behaviors at infinity of solutions of certain linear partial differential equations, J. Fac. Sci. Univ. Tokyo, Sec. IA, Vol. 23, pp. 107-148, 1976.
• Minoru Murata. A theorem of Liouville type for partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sec. IA, Vol. 21, pp. 395-404, 1974.
• Minoru Murata. Anti-locality of certain functions of the Laplace operator, J. Math. Soc. Japan, Vol. 25, pp. 556-564, 1973.

著書

• 村田實･倉田和浩. 楕円型・放物型偏微分方程式, 岩波書店, May 2006.
• 村田實　倉田和弘. 偏微分方程式1(岩波講座 現代数学の基礎), 岩波書店, 岩波書店, 1997.

その他の論文・著書など

• Minoru Murata. Structure of positive solutions to Schroedinger equations, Sugaku Expositions, Vol. 11, pp. 101-121, 1998.
• 村田實. Schroedinger方程式の正値解の構造, 数学(日本数学会編集), Vol. 47, pp. 360-376, 1995.

学位論文

• 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,  本文,  Doctor of Science,  東京大学理学研究科,  1979/--/--, 

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