Search Results - "FEEHAN, PAUL M. N."

Maximum Principles for Boundary-Degenerate Second Order Linear Elliptic Differential Operators by Feehan, Paul M. N.

“…We prove weak and strong maximum principles, including a Hopf lemma, for C 2 subsolutions to equations defined by linear, second-order, linear, elliptic…”
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On the Morse–Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half by Feehan, Paul M. N.

“…It is a consequence of the Morse–Bott Lemma (see Theorems 2.10 and 2.14 ) that a C 2 Morse–Bott function on an open neighborhood of a critical point in a…”
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Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds by FEEHAN, PAUL M. N.

“…We extend the well-known Sacks-Uhlenbeck energy gap result for harmonic maps from closed Riemann surfaces into closed Riemannian manifolds from the case of…”
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Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions by FEEHAN, PAUL M. N., POP, CAMELIA A.

“…We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a…”
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On the Morse-Bott property of analytic functions on Banach spaces with Lojasiewicz exponent one half by Feehan, Paul M. N

“…Calculus of Variations and Partial Differential Equations 59 (2020), article no. 87, 50 pages It is a consequence of the Morse-Bott Lemma on Banach spaces that…”
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Resolution of singularities and geometric proofs of the Lojasiewicz inequalities by Feehan, Paul M. N

“…Geom. Topol. 23 (2019) 3273-3313 The Lojasiewicz inequalities for real analytic functions on Euclidean space were first proved by Stanislaw Lojasiewicz (1965)…”
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Lojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces by Feehan, Paul M. N, Maridakis, Manousos

“…Journal fuer die Reine und Angewandte Mathematik (Crelle's Journal) 765 (2020), 35-67 We prove several abstract versions of the Lojasiewicz-Simon gradient…”
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Energy gap for Yang-Mills connections, II: Arbitrary closed Riemannian manifolds by Feehan, Paul M. N

“…Advances in Mathematics 312 (2017), 547-587 In this sequel to [arXiv:1412.4114], we prove an $L^{d/2}$ energy gap result for Yang-Mills connections on…”
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Energy gap for Yang–Mills connections, II: Arbitrary closed Riemannian manifolds by Feehan, Paul M.N.

“…We prove an Ld/2 energy gap result for Yang–Mills connections on principal G-bundles, P, over arbitrary, closed, Riemannian, smooth manifolds of dimension d≥2…”
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Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds by Feehan, Paul M. N

“…Proceedings of the American Mathematical Society 146 (2018), No. 7, pp. 3179-3190 We extend the well-known Sacks-Uhlenbeck energy gap result (1981) for…”
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Superconformal simple type and Witten's conjecture by Feehan, Paul M. N, Leness, Thomas G

“…Advances in Mathematics 356 (2019), article no. 106821, 35 pages Let $X$ be a smooth, closed, connected, orientable four-manifold with $b^1(X)=0$ and…”
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The SO(3) monopole cobordism and superconformal simple type by Feehan, Paul M. N, Leness, Thomas G

“…Advances in Mathematics 356 (2019), article no. 106817, 38 pages We show that the SO(3) monopole cobordism formula from Feehan and Leness (2002) implies that…”
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Energy gap for Yang–Mills connections, I: Four-dimensional closed Riemannian manifolds by Feehan, Paul M.N.

“…We extend an L2 energy gap result due to Min-Oo [28, Theorem 2] and Parker [30, Proposition 2.2] for Yang–Mills connections on principal G-bundles, P, over…”
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A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps by Feehan, Paul M.N.

“…We prove existence of solutions to boundary value problems and obstacle problems for degenerate-elliptic, linear, second-order partial differential operators…”
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C^{1,1} regularity for degenerate elliptic obstacle problems by Daskalopoulos, Panagiota, Feehan, Paul M. N

“…Journal of Differential Equations 260 (2016), 5043-5074 The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the…”
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Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations by Feehan, Paul M.N., Pop, Camelia A.

“…We establish Schauder a priori estimates and regularity for solutions to a class of boundary-degenerate elliptic linear second-order partial differential…”
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A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients by Feehan, Paul M.N., Pop, Camelia A.

“…Motivated by applications to probability and mathematical finance, we consider a parabolic partial differential equation on a half-space whose coefficients are…”
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Maximum principles for boundary-degenerate second-order linear elliptic differential operators by Feehan, Paul M. N

“…Communications in Partial Differential Equations 38 (2013), no.11, 1863-1935 We prove weak and strong maximum principles, including a Hopf lemma, for smooth…”
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Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations by Feehan, Paul M. N, Pop, Camelia

“…Journal of Differential Equations 256 (2014), 895-956 We establish Schauder a priori estimates and regularity for solutions to a class of boundary-degenerate…”
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A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients by Feehan, Paul M. N, Pop, Camelia

“…Journal of Differential Equations 254 (2013), 4401-4445 Motivated by applications to probability and mathematical finance, we consider a parabolic partial…”
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