UofT Libraries is getting a new library services platform in January 2021.

Learn more about the change.

## Search Articles

Annales de l'Institut Henri Poincaré. Analyse non linéaire, ISSN 0294-1449, 11/2016, Volume 33, Issue 6, pp. 1589 - 1638

We prove the existence and the stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear (i.e. strongly nonlinear) autonomous...

Nash–Moser theory | Quasi-periodic solutions | KdV | KAM for PDEs | Quasi-linear PDEs | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Nash–Moser theory | Quasi-periodic solutions | KdV | KAM for PDEs | Quasi-linear PDEs | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Communications in partial differential equations, ISSN 0360-5302, 08/2011, Volume 36, Issue 8, pp. 1353 - 1384

We investigate stable solutions of elliptic equations of the type
where n ≥ 2, s ∈ (0, 1), λ ≥0 and f is any smooth positive superlinear function. The operator...

Boundary reactions | Extremal solutions | Fractional operators | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Partial differential equations | Analysis of PDEs

Boundary reactions | Extremal solutions | Fractional operators | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Partial differential equations | Analysis of PDEs

Journal Article

2012, Graduate studies in mathematics, ISBN 0821872915, Volume 133, xix, 363

Book

Communications in mathematical physics, ISSN 0010-3616, 04/2007, Volume 271, Issue 1, pp. 199 - 221

In this paper we consider systems of coupled Schrödinger equations which appear in nonlinear optics. The problem has been considered mostly in the...

Analysis of PDEs | Mathematics

Analysis of PDEs | Mathematics

Journal Article

Archive for rational mechanics and analysis, ISSN 1432-0673, 05/2008, Volume 192, Issue 1, pp. 165 - 186

In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both...

Holm Equation | Fluid- and Aerodynamics | Wave Breaking | Theoretical, Mathematical and Computational Physics | Complex Systems | Maximal Existence Time | Classical Mechanics | Water Wave | Plunging Breaker | Physics, general | Physics | Mechanics | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Water waves | Analysis | Water | Differential equations | Partial differential equations | Analysis of PDEs

Holm Equation | Fluid- and Aerodynamics | Wave Breaking | Theoretical, Mathematical and Computational Physics | Complex Systems | Maximal Existence Time | Classical Mechanics | Water Wave | Plunging Breaker | Physics, general | Physics | Mechanics | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Water waves | Analysis | Water | Differential equations | Partial differential equations | Analysis of PDEs

Journal Article

2012, Mathematical surveys and monographs, ISBN 9780821889817, Volume 183, vii, 317

Book

Annales de l'Institut Henri Poincaré. Analyse non linéaire, ISSN 0294-1449, 01/2014, Volume 31, Issue 1, pp. 23 - 53

This is the first of two articles dealing with the equation (−Δ)sv=f(v) in Rn, with s∈(0,1), where (−Δ)s stands for the fractional Laplacian — the...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Matemàtiques i estadística | Nonlinear teories | Teories no-lineals | Àlgebra | Àrees temàtiques de la UPC | Analysis of PDEs

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Matemàtiques i estadística | Nonlinear teories | Teories no-lineals | Àlgebra | Àrees temàtiques de la UPC | Analysis of PDEs

Journal Article

Asymptotic analysis, ISSN 0921-7134, 01/2019, Volume 115, Issue 1-2, pp. 63 - 94

Subdiffusive motion takes place at a much slower timescale than diffusive motion. As a preliminary step to studying reaction-subdiffusion pulled fronts, we...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Constraining | Mathematics - Analysis of PDEs

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Constraining | Mathematics - Analysis of PDEs

Journal Article

Journal of functional analysis, ISSN 0022-1236, 07/2018, Volume 275, Issue 1, pp. 170 - 195

We construct clustering positive solutions for a perturbed critical elliptic equation on a closed manifold of dimension n=4,5. Such a construction is already...

Blowing-up solutions | Elliptic PDEs | Physical Sciences | Mathematics | Science & Technology | Analysis of PDEs

Blowing-up solutions | Elliptic PDEs | Physical Sciences | Mathematics | Science & Technology | Analysis of PDEs

Journal Article

Duke mathematical journal, ISSN 0012-7094, 06/2019, Volume 168, Issue 8, pp. 1487 - 1537

We study local and global properties of positive solutions of -Delta u = u(p)vertical bar del u vertical bar(q) in a domain Omega of R-N , in the range p + q >...

Physical Sciences | Mathematics | Science & Technology | Analysis of PDEs

Physical Sciences | Mathematics | Science & Technology | Analysis of PDEs

Journal Article

Inventiones mathematicae, ISSN 1432-1297, 12/2007, Volume 171, Issue 3, pp. 485 - 541

We rigorously justify in 3D the main asymptotic models used in coastal oceanography, including: shallow-water equations, Boussinesq systems,...

Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Studies | Mathematics - Analysis of PDEs | Analysis of PDEs

Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Studies | Mathematics - Analysis of PDEs | Analysis of PDEs

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 01/2019, Volume 266, Issue 2-3, pp. 1051 - 1072

The Adimurthi–Druet [1] inequality is an improvement of the standard Moser–Trudinger inequality by adding a L2-type perturbation, quantified by α∈[0,λ1), where...

Physical Sciences | Mathematics | Science & Technology | Analysis | Equality | Mathematics - Analysis of PDEs | Analysis of PDEs

Physical Sciences | Mathematics | Science & Technology | Analysis | Equality | Mathematics - Analysis of PDEs | Analysis of PDEs

Journal Article

2010, Oxford mathematical monographs, ISBN 0199541647, Volume 9780199541645, xviii, 411

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of...

Thermoelasticity | Mathematics | Mathematical and Statistical Physics | Applied Mathematics | Elasticity | Second sound | Wave propagation | Elastodynamics | Hyperbolic pdes | Generalized thermoelasticity

Thermoelasticity | Mathematics | Mathematical and Statistical Physics | Applied Mathematics | Elasticity | Second sound | Wave propagation | Elastodynamics | Hyperbolic pdes | Generalized thermoelasticity

Book

Communications on pure and applied mathematics, ISSN 0010-3640, 10/2016, Volume 69, Issue 10, pp. 1882 - 1923

We establish uniform Lipschitz estimates for second‐order elliptic systems in divergence form with rapidly oscillating, almost‐periodic coefficients. We give...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Homogenization | Dirichlet problem | Analysis of PDEs

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Homogenization | Dirichlet problem | Analysis of PDEs

Journal Article

Journal of computational physics, ISSN 0021-9991, 08/2012, Volume 231, Issue 20, pp. 6770 - 6789

We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their...

Dissipative PDEs | Hamiltonian PDEs | Time integration | Average vector field method | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Methods | Differential equations | Partial differential equations | Mathematical analysis | Dissipation | Preserves | Mathematical models | Schroedinger equation | Preserving | Heat equations | Mathematics - Numerical Analysis

Dissipative PDEs | Hamiltonian PDEs | Time integration | Average vector field method | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Methods | Differential equations | Partial differential equations | Mathematical analysis | Dissipation | Preserves | Mathematical models | Schroedinger equation | Preserving | Heat equations | Mathematics - Numerical Analysis

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 05/2016, Volume 260, Issue 10, pp. 7535 - 7562

In this paper we investigate the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite...

Physical Sciences | Mathematics | Science & Technology | Waveguides | Analysis of PDEs

Physical Sciences | Mathematics | Science & Technology | Waveguides | Analysis of PDEs

Journal Article