Publications

 

© All material accessible through this page is copyright by Yehuda Pinchover and his coauthors and by the corresponding publishers. Permission is granted for fair use in personal, noncommercial, and academic projects.

 

For a complete list of my publications see my vitae.

 

Click here to see the reviews of my papers in "MathSciNet" of the American Mathematical Society.

 

Here are links to some of my recent and not-so-recent mathematical papers which are available on the web.

 

  1. Y. Pinchover, Sur les solutions positives d'equations elliptiques et paraboliques dans $\Rn$ , C. R. Acad. Sc. Paris
    302 I (1986), 447-450.
  2. Y. Pinchover, Representation theorems for positive solutions of parabolic equations, Proc. Amer. Math. Soc. 104
    (1988), 507-515.
  3. Y. Pinchover, On positive solutions of second-order elliptic equations, stability results and classification, Duke Math.
    J. 57 (1988), 955-980.
  4. Y. Pinchover, On positive solutions of elliptic equations with periodic coefficients in unbounded domains, in: ``Maximum Principles and Eigenvalue Problems in Partial Differential Equations (Knoxville, TN, 1987)", ed. P. W. Schaefer, Pitman Res. Notes in Math. 175, Longman Sci. Tech., London, 1988, 218-230.
  5. Y. Pinchover, Criticality and ground states forsecond-order elliptic equations, J. Differential Equations 80 (1989), 237-250.
  6. Y. Pinchover, On criticality and ground states of second-order elliptic equations II, J. Differential Equations 87 (1990), 353-364.
  7. Y. Pinchover, Large scale properties of multiparameter oscillation problems, Comm. Partial Differential Equations 15 (1990), 647-673.
  8. Y. Pinchover, Large time behavior of the heat kernel and the behavior of the Green function near criticality for nonsymmetric elliptic operators, J. Functional Analysis 104 (1992), 54-70.
  9. Y. Pinchover, On the equivalence of Green functions of second order elliptic equations in $\Rn$, Differential and Integral Equations  5 (1992), 481-493.
  10. R. D. Nussbaum and Y. Pinchover, On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications, J. Anal. Math. 59 (1992), 161-177.
  11. V. Lin and Y. Pinchover, Manifolds with group actions and elliptic operators, Memoirs Amer. Math. Soc. Vol. 112, No. 540 (1994), 1-78.
  12. Y. Pinchover, On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators, Ann. Inst. H. Poincare. Anal. Non Lineaire 11 (1994), 313-341.
  13. Y. Pinchover, Nonexistence of any lambda0--invariant positive harmonic function, a counter example to Stroock's conjecture, Comm. Partial Differential Equations 20 (1995), 1831-1846.
  1. Y. Pinchover, On the localization of binding for Schrödinger operators and its extension to elliptic operators, J. Anal. Math. 66 (1995), 57-83.
  2. Y. Pinchover, On positivity, criticality and spectral radius of the shuttle operator for elliptic operators, Duke Math. J. 85 (1996), 431-445.
  3. Y. Pinchover, Binding of Schrödinger particles through conspiracy of potential wells in R4, in: Progress in Partial Differential Equations: the Metz Surveys 4, eds. M. Chipot and I. Shafrir (Pitman Research Notes in Mathematics 345), Longman Press, London (1996), 118-133.
  4. Y. Pinchover, On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients, Math. Zeitschrift 233 (1996), 569-586.
  5. Y. Pinchover, Generalized principal eigenvalues for indefinite-weight elliptic problems, C. R. Acad. Sc. Paris 326 (1998), 697-702.
  6. M. Marcus, V. J. Mizel and Y. Pinchover, On the best constant for Hardy's inequality in Rn, Trans. Amer. Math. Soc. 350 (1998), 3237-3255.
  7. Y. Pinchover, On principal eigenvalues for indefinite-weight elliptic problems, in: Spectral and Scattering Theory, ed A.G. Ramm, Plenum, New York, (1998), 77-87.
  8. Y. Pinchover, Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations, Math. Ann. 314 (1999), 555-590.
  9. Y. Pinchover, Maximum and anti-maximum principles, in: "Differential Equations and Mathematical Physics'', R. Weikard and G. Weinstein eds., AMS/IP Studies in Advanced Mathematics, Vol. 16, American Mathematical Society, Providence, 2000.
  10. P. Kuchment and Y. Pinchover, Integral representations and Liouville theorems for solutions of periodic elliptic equations, J. Functional Analysis 181 (2001), 402-446. arXiv: http://arxiv.org/PS_cache/math/pdf/0007/0007051v1.pdf .
  11. Y. Pinchover, Anti-maximum principles for indefinite-weight elliptic problems, Comm. Partial Differential Equations 26 (2001), 1861-1877.
  12. Y. Pinchover and T. Saadon, On positivity of solutions of degenerate boundary value problems for second-order elliptic equations, Israel J. Math. 132 (2002), 125-168.
  13. Y. Pinchover and T. Saadon (Suez), Degenerate elliptic mixed boundary value problems: positive solutions, principal eigenvalue, Green function, and criticality theory, in: ``Progress in Analysis, Proceedings of the 3rd ISAAC Congress", eds. H. G. W. Begehr, R. P. Gilbert and M. W. Wong, World Scientific, New Jersey, 2003, 623-634.
  14. Y. Pinchover, Large time behavior of the heat kernel, J. Functional Analysis 206 (2004), 191-209, arXiv: http://arxiv.org/PS_cache/math/pdf/0206/0206281v1.pdf .
  15. Y. Pinchover and K. Tintarev, Existence of minimizers for Schroedinger operators under domain perturbations with application to Hardy's inequality, Indiana Univ. Math. J. 54 (2005), 1061-1074, arXiv: http://arxiv.org/PS_cache/math/pdf/0410/0410078v1.pdf .
  16. Y. Pinchover and K. Tintarev, A ground state alternative for singular Schroedinger operators,  J. Functional Analysis, 230 (2006), 65-77.   arXiv: http://arxiv.org/PS_cache/math/pdf/0411/0411658v1.pdf .
  17. P. Kuchment and Y. Pinchover, Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds,  Trans. Amer. Math. Soc. 359 (2007), 5777-5815. arXiv: http://arxiv.org/PS_cache/math-ph/pdf/0503/0503010v1.pdf .
  18. Y. Pinchover, On Davies' conjecture and strong ratio limit properties for the heat kernel,  in "Potential Theory in Matsue", Proceedings of the International Workshop on Potential Theory, 2004, ed. H. Aikawa, Advanced Studies in Pure Mathematics 44, Mathematical Society of Japan, Tokyo,  2006, 339-352. arXiv: http://arxiv.org/PS_cache/math/pdf/0504/0504344v1.pdf .
  19. Y. Pinchover and K. Tintarev, Ground state alternative for p-Laplacian with potential term, Calc. Var. Partial Differential Equations 28 (2007), 179-201. arXiv: http://arxiv.org/PS_cache/math/pdf/0511/0511039v2.pdf .
  1. Y. Pinchover, Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations, in "Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday",  eds. F. Gesztesy, et al., Proceedings of Symposia in Pure Mathematics 76, American Mathematical Society, Providence, RI, 2007, 329-356. arXiv: http://arxiv.org/PS_cache/math/pdf/0512/0512430v2.pdf . 
  1. Y. Pinchover, A Liouville-type theorem for Schroedinger operators, Comm. Math. Phys. 272 (2007), 75-84.     arXiv: http://arxiv.org/PS_cache/math/pdf/0512/0512431v2.pdf .
  2. Y. Pinchover, A. Tertikas and K. Tintarev, A Liouville-type theorem for the p-Laplacian with potential term, Ann.  Inst.  H. Poincare-Anal. Non Lineaire 25 (2008), 357-368. arXiv: http://arxiv.org/PS_cache/math/pdf/0609/0609126v2.pdf .
  3. Y. Pinchover, G.Wolansky and D. Zelig, Spectral properties of Schroedinger operators defined on N-dimensional infinite trees, Israel J. Math., 165 (2008), 281-328. arXiv: http://arxiv.org/PS_cache/math/pdf/0608/0608716v1.pdf. 
  4. Y. Pinchover and K. Tintarev, On positive solutions of minimal growth for singular p-Laplacian with potential term, Advanced Nonlinear Studies 8 (2008), 213-234.  arXiv:  http://arxiv.org/PS_cache/arxiv/pdf/0707/0707.2169v1.pdf.
  1. Y. Pinchover and K. Tintarev, On the Hardy-Sobolev-Maz'ya inequality and its generalizations, in ``Sobolev Spaces in Mathematics I: Sobolev Type Inequalities", ed. V. Maz'ya, International Mathematical Series 8, Springer, 2009, 281-297. arXiv:  http://arxiv.org/PS_cache/arxiv/pdf/1003/1003.2374v1.pdf
  1. Y. Pinchover, Book Review: The maximum principle, by P. Pucci and J. Serrin [ Progress in Nonlinear Differential Equations and their Applications  73, Birkhauser Verlag, Basel, 2007], Bull. Amer. Math. Soc. 46 (2009), 499–504.
  2. Y. Pinchover and K. Tintarev, On positive solutions of p-Laplacian-type equations, in: ``Analysis, Partial Differential Equations and Applications - The Vladimir Maz'ya Anniversary Volume", eds. A. Cialdea et al., Operator Theory: Advances and Applications, Vol. 193, Birkauser Verlag, Basel, 2009, 245-268.  http://arxiv.org/PS_cache/arxiv/pdf/0901/0901.0847v1.pdf .
  3. M. Fraas, D. Krejcirik and Y. Pinchover, On some strong ratio limit theorems for heat kernels, Discrete Contin. Dyn. Syst. Ser. A, a special special volume dedicated to Louis Nirenberg on the occasion of his 85th birthday, 28 (2010), 495–509. arXiv: http://arxiv.org/PS_cache/arxiv/pdf/0912/0912.4337v3.pdf
  1.  M. Fraas and Y. Pinchover, Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential, Confluentes Mathematici 3 (2011),  291-323. arXiv: http://arxiv.org/PS_cache/arxiv/pdf/1003/1003.5452v2.pdf
  1. M. Fraas and Y. Pinchover, Isolated singularities of positive solutions of p-Laplacian type equations in Rd. arXiv:  http://arxiv.org/PS_cache/arxiv/pdf/1008/1008.3873v2.pdf
  2. G. Grillo, H. Kovarik and Y. Pinchover, Sharp two-sided heat kernel estimates of twisted tubes and applications, arXiv:  http://arxiv.org/PS_cache/arxiv/pdf/1105/1105.0842v1.pdf.
  1. B. Devyver, M. Fraas  and Y. Pinchover, Optimal Hardy-type inequalities for elliptic operators, C. R. Acad. Sc. Paris, to appear.

 

 

·       Books

·         Y. Pinchover and J. Rubinstein, "Introduction to Partial Differential Equations", (in Hebrew), Technion, 312 pp., First Edition 2001, Enlarged Second Edition, 2003, Enlarged Third Edition, 2006, Fourth Edition 2011.

·         Y. Pinchover and J. Rubinstein, "An Introduction to Partial Differential Equations", 400 pp., Cambridge University Press, 2005.

·         M. Entov, Y. Pinchover and M. Sageev (Editors), "Geometry, Spectral Theory, Groups, and Dynamics: Proceedings in Memory of Robert Brooks", Contemporary Mathematics, 300 pp., American Mathematical Society, Providence, RI, 2005.
 

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